Czesław Olech: Difference between revisions

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==Publications==
==Publications==
* {{cite journal|doi=10.4064/ap-66-1-1-9|title=Włodzimierz Mlak (1931-1994)|year=1997|last1=Szafraniec|first1=F.|last2=Olech|first2=Cz.|last3=Janas|first3=J.|journal=Annales Polonici Mathematici|volume=66|pages=1–9}}
*''A talk on the occasion of receiving an honorary degree''. (Polish) Wiadom. Mat. 42 (2006), 55—58.
* {{cite journal|doi=10.1080/03081089308818260|title=Power-exact, nilpotent, homogeneous matrices|year=1993|last1=Meisters|first1=Gary H.|last2=Olech|first2=Czesław|journal=Linear and Multilinear Algebra|volume=35|issue=3–4|pages=225–236}}
*[http://www2.im.uj.edu.pl/actamath/PDF/36-55-64.pdf ''On the Ważewski equation'']. Proceedings of the Conference ''Topological Methods in Differential Equations and Dynamical Systems (Kraków-Przegorzaƚy, 1996)''. Univ. Iagel. Acta Math. No. 36 (1998), 55—64.
* {{cite journal|doi=10.1080/03081089108818109|title=Strong nilpotence holds in dimensions up to five only∗|year=1991|last1=Meisters|first1=Gary H.|last2=Olech|first2=Czeslaw|journal=Linear and Multilinear Algebra|volume=30|issue=4|pages=231–255}}
*''My contacts with Professor Kuratowski, 1970--1980.'' (Polish) X School of the history of mathematics (Międzyzdroje, 1996). Zesz. Nauk. Uniw. Opol. Mat. 30 (1997), 109—114.
* {{cite journal|doi=10.1016/0024-3795(91)90290-D|title=Almost N-matrices and linear complementarity|year=1991|last1=Olech|first1=C.|last2=Parthasarathy|first2=T.|last3=Ravindran|first3=G.|journal=Linear Algebra and Its Applications|volume=145|pages=107–125}}
*with Janas, J. ; Szafraniec, F. H. ''Wƚodzimierz Mlak (1931--1994). Volume dedicated to the memory of Wƚodzimierz Mlak''. Ann. Polon. Math. 66 (1997), 1--9.
* {{cite journal|doi=10.4064/ap-51-1-249-254|title=A Jacobian condition for injectivity of differentiable plane maps|year=1990|last1=Olech|first1=Czesław|last2=Meisters|first2=Gary H.|journal=Annales Polonici Mathematici|volume=51|pages=249–254}}
*with Meisters, Gary H. [http://portal.acm.org/citation.cfm?id=273415 ''Global stability, injectivity, and the Jacobian conjecture'']. World Congress of Nonlinear Analysts '92, Vol. I--IV (Tampa, FL, 1992), 1059—1072, de Gruyter, Berlin, 1996.
* {{cite journal|doi=10.4064/ap-51-1-7-13|title=Zdzisław Opial---a mathematician 1930--1974|year=1990|last1=Olech|first1=Czesław|last2=Lasota|first2=Andrzej|journal=Annales Polonici Mathematici|volume=51|pages=7–13}}
* with Meisters, Gary H. [http://www.informaworld.com/smpp/content~db=all?content=10.1080/03081089308818260 ''Power-exact, nilpotent, homogeneous matrices'']. Linear and Multilinear Algebra 35 (1993), no. 3-4, 225—236.
* {{cite book|doi=10.1007/BFb0084932|chapter=The Lyapunov Theorem: Its extensions and applications|title=Methods of Nonconvex Analysis|series=Lecture Notes in Mathematics|year=1990|last1=Olech|first1=Czesraw|volume=1446|pages=84–103|isbn=978-3-540-53120-3}}
*[http://www.paperbackswap.com/New-Directions-Differential-Equations-Dynamical/book/0902198068/ ''Introduction. New directions in differential equations and dynamical systems''], viii—x, Royal Soc. Edinburgh, Edinburgh, 1991.
* {{cite journal|doi=10.1007/BF00945411|title=Onn-dimensional extensions of Fatou's lemma|year=1987|last1=Olech|first1=Czeslaw|journal=Zamp Zeitschrift für Angewandte Mathematik und Physik|volume=38|issue=2|pages=266–272}}
*with Meisters, Gary H. [http://www.informaworld.com/smpp/content~db=all?content=10.1080/03081089108818109 ''Strong nilpotence holds in dimensions up to five only'']. Linear and Multilinear Algebra 30 (1991), no. 4, 231—255.
* {{cite journal|doi=10.1137/0324072|title=Controllability of Convex Processes|year=1986|last1=Aubin|first1=Jean-Pierre|last2=Frankowska|first2=Halina|last3=Olech|first3=Czesław|journal=Siam Journal on Control and Optimization|volume=24|issue=6|pages=1192–1211}}
*with Parthasarathy, T. ; Ravindran, G. [https://archive.today/20130202071326/http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V0R-45FKH8N-MX&_user=10&_coverDate=02/01/1991&_rdoc=1&_fmt=high&_orig=gateway&_origin=gateway&_sort=d&_docanchor=&view=c&_searchStrId=1740272313&_rerunOrigin=google&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=4bedd18720aa59bd39696e4af7fe1176&searchtype=a ''Almost N-matrices and linear complementarity'']. Linear Algebra Appl. 145 (1991), 107—125.
* {{cite book|doi=10.1007/BFb0098812|chapter=Decomposability as a substitute for convexity|title=Multifunctions and Integrands|series=Lecture Notes in Mathematics|year=1984|last1=Olech|first1=Czesław|volume=1091|pages=193–205|isbn=978-3-540-13882-2}}
*with Parthasarathy, T. ; Ravindran, G. [http://dml.cz/bitstream/handle/10338.dmlcz/107384/ArchMath_026-1990-2_14.pdf ''A class of globally univalent differentiable mappings'']. Arch. Math. (Brno) 26 (1990), no. 2-3, 165—172.
* {{cite journal|doi=10.1016/0022-0396(82)90011-0|title=Boundary solutions of differential inclusion|year=1982|last1=Frankowska|first1=Halina|last2=Olech|first2=Czeslaw|journal=Journal of Differential Equations|volume=44|issue=2|pages=156–165}}
*with Meisters, Gary H.'' A Jacobian condition for injectivity of differentiable plane maps''. Ann. Polon. Math. 51 (1990), 249—254.
* {{cite journal|doi=10.1007/BF00934048|title=Weak lower semicontinuity of integral functionals|year=1976|last1=Olech|first1=C.|journal=Journal of Optimization Theory and Applications|volume=19|pages=3–16}}
*with Lasota, A. ''Zdzisƚaw Opial---a mathematician (1930--1974)''. Ann. Polon. Math. 51 (1990), 7--13.
* {{cite book|doi=10.1016/B978-0-12-059650-8.50050-8|chapter=Existence Theory in Optimal Control Problems - the Underlying Ideas|title=International Conference on Differential Equations|year=1975|last1=Olech|first1=Czeslaw|pages=612–635|isbn=9780120596508}}
*[https://doi.org/10.1007%2FBFb0084932 ''The Lyapunov theorem: its extensions and applications. Methods of nonconvex analysis (Varenna, 1989)''], 84—103, Lecture Notes in Math., 1446, Springer, Berlin, 1990.
* {{cite journal|doi=10.1137/0312024|title=The Characterization of the Weak Closure of Certain Sets of Integrable Functions|year=1974|last1=Olech|first1=Czeslaw|journal=Siam Journal on Control|volume=12|issue=2|pages=311–318}}
*''Global diffeomorphism question and differential equations. Qualitative theory of differential equations (Szeged, 1988)'', 465—471, Colloq. Math. Soc. János Bolyai, 53, North-Holland, Amsterdam, 1990.
* {{cite journal|doi=10.1016/0022-0396(69)90007-2|title=Existence theorems for optimal control problems involving multiple integrals|year=1969|last1=Olech|first1=Czełsaw|journal=Journal of Differential Equations|volume=6|issue=3|pages=512–526}}
*with Meisters, Gary H. ''Solution of the global asymptotic stability Jacobian conjecture for the polynomial case. Analyse mathématique et applications'', 373—381, Gauthier-Villars, Montrouge, 1988.
* {{cite journal|doi=10.1090/S0002-9947-1969-0234338-5|title=Existence theorems for optimal problems with vector-valued cost function|year=1969|last1=Olech|first1=Czesław|journal=Transactions of the American Mathematical Society|volume=136|pages=159}}
*with Meisters, Gary H. ''A poly-flow formulation of the Jacobian conjecture''. Bull. Polish Acad. Sci. Math. 35 (1987), no. 11-12, 725—731.
* {{cite journal|doi=10.1007/BF01694009|title=On the range of an unbounded vector-valued measure|year=1968|last1=Olech|first1=Czesław|journal=Mathematical Systems Theory|volume=2|issue=3|pages=251–256}}
*''Global asymptotic stability and global univalence on the plane. Proceedings of the Eleventh International Conference on Nonlinear Oscillations (Budapest, 1987)'', 189—194, János Bolyai Math. Soc., Budapest, 1987.
* {{cite journal|doi=10.4064/cm-19-2-285-293|title=Approximation of set-valued functions by continuous functions|year=1968|last1=Olech|first1=Czesław|journal=Colloquium Mathematicum|volume=19|issue=2|pages=285–293}}
*''Some remarks concerning controllability. Contributions to modern calculus of variations (Bologna, 1985)'', 184—188, Pitman Res. Notes Math. Ser., 148, Longman Sci. Tech., Harlow, 1987.
* {{cite journal|doi=10.1007/BF02415111|title=On the stability properties of a third order system|year=1968|last1=Szegö|first1=G. P.|last2=Olech|first2=C.|last3=Cellina|first3=A.|journal=Annali di Matematica Pura ed Applicata|volume=78|pages=91–103}}
*[https://doi.org/10.1007%2FBF00945411 ''On n-dimensional extensions of Fatou's lemma'']. Z. Angew. Math. Phys. 38 (1987), no. 2, 266—272.
* {{cite journal|doi=10.7146/math.scand.a-10839|title=Characterizations of a Class of Convex Sets|year=1967|last1=Klee|first1=Victor|last2=Olech|first2=Czeslaw|journal=Mathematica Scandinavica|volume=20|pages=290}}
*with Aubin, Jean-Pierre ; [[Hélène Frankowska|Frankowska, Halina]]. [http://epubs.siam.org/sicon/resource/1/sjcodc/v24/i6/p1192_s1?isAuthorized=no ''Controllability of convex processes'']. SIAM J. Control Optim. 24 (1986), no. 6, 1192—1211.
* {{cite journal|doi=10.4064/cm-18-1-43-58|title=Monotonicity assumption in uniqueness criteria for differential equations|year=1967|last1=Pliś|first1=A.|last2=Olech|first2=C.|journal=Colloquium Mathematicum|volume=18|pages=43–58}}
*with Meisters, Gary H. [http://dml.cz/dmlcz/118270 ''Global asymptotic stability for plane polynomial flows'']. Časopis Pěst. Mat. 111 (1986), no. 2, 123—126.
* {{cite journal|doi=10.4064/cm-16-1-137-139|title=On a system of integral inequalities|year=1967|last1=Olech|first1=C.|journal=Colloquium Mathematicum|volume=16|pages=137–139}}
*with Aubin, Jean-Pierre ; [[Hélène Frankowska|Frankowska, Halina]]. [http://cat.inist.fr/?aModele=afficheN&cpsidt=8601708 ''Contrôlabilité des processus convexes''][Controllability of convex processes]. Comptes Rendus de l'Académie des Sciences, Série I 301 (1985), no. 5, 153—156.
* {{cite journal|doi=10.4064/ap-18-2-131-139|title=An optimal solution of Nicoletti's boundary value problem|year=1966|last1=Olech|first1=C.|last2=Lasota|first2=A.|journal=Annales Polonici Mathematici|volume=18|issue=2|pages=131–139}}
*[https://doi.org/10.1007%2FBFb0098812 ''Decomposability as a substitute for convexity. Multifunctions and integrands (Catania, 1983)''], 193—205, Lecture Notes in Math., 1091, Springer, Berlin, 1984.
* {{cite journal|doi=10.1016/0022-0396(66)90064-7|title=Extremal solutions of a control system|year=1966|last1=Olech|first1=Czesław|journal=Journal of Differential Equations|volume=2|pages=74–101}}
*with [[Hélène Frankowska|Frankowska, Halina]]. [https://archive.today/20130201194630/http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WJ2-4KBD59R-2&_user=10&_coverDate=05/31/1982&_alid=1740330298&_rdoc=3&_fmt=high&_orig=search&_origin=search&_zone=rslt_list_item&_cdi=6866&_sort=r&_st=13&_docanchor=&view=c&_ct=38&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=b901ca2ff0b265d9a45449cedc87fa93&searchtype=a ''Boundary solutions of differential inclusion. Special issue dedicated to J. P. LaSalle.''] J. Differential Equations 44 (1982), no. 2, 156—165.
* {{cite journal|doi=10.5802/aif.164|title=Global phase- portrait of a plane autonomous system|year=1964|last1=Olech|first1=Czeslaw|journal=Annales de l'Institut Fourier|volume=14|pages=87–97}}
*with [[Hélène Frankowska|Frankowska, Halina]]. ''R-convexity of the integral of set-valued functions. Contributions to analysis and geometry (Baltimore, Md., 1980)'', pp. 117–129, Johns Hopkins Univ. Press, Baltimore, Md., 1981.
* {{cite journal|doi=10.4064/ap-13-1-105-112|title=Integration of infinite systems of differential inequalities|year=1963|last1=Olech|first1=C.|last2=Mlak|first2=W.|journal=Annales Polonici Mathematici|volume=13|pages=105–112}}
*''Lower semiconductivity of integral functionals. Analysis and control of systems (IRIA Sem., Rocquencourt, 1978)'', pp. 109–117, IRIA, Rocquencourt, 1978.
* {{cite journal|doi=10.1215/S0012-7094-63-03008-4|title=Schlicht functions|year=1963|last1=Meisters|first1=G. H.|last2=Olech|first2=C.|journal=Duke Mathematical Journal|volume=30|pages=63–80}}
*''Differential games of evasion. Differential equations (Proc. Internat. Conf., Uppsala, 1977)'', pp. 155–161. Sympos. Univ. Upsaliensis Ann. Quingentesimum Celebrantis, No. 7, Almqvist & Wiksell, Stockholm, 1977.
* {{cite journal|doi=10.2307/1993939|jstor=1993939|title=On Global Asymptotic Stability of Solutions of Differential Equations|year=1962|last1=Hartman|first1=Philip|last2=Olech|first2=Czeslaw|journal=Transactions of the American Mathematical Society|volume=104|issue=1|pages=154–178}}
*''A characterization of L\sb{1}-weak lower semicontinuity of integral functionals''. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 25 (1977), no. 2, 135—142.
* {{cite journal|doi=10.4064/ap-11-3-237-245|title=A connection between two certain methods of successive approximations in differential equations|year=1962|last1=Olech|first1=C.|journal=Annales Polonici Mathematici|volume=11|issue=3|pages=237–245}}
*[https://web.archive.org/web/20120829162431/http://md1.csa.com/partners/viewrecord.php?requester=gs&collection=TRD&recid=A7610045AH&q=Existence+theory+in+optimal+control+problems+in+the+underlying+ideas&uid=790688917&setcookie=yes ''Existence theory in optimal control. Control theory and topics in functional analysis''] (Internat. Sem., Internat. Centre Theoret. Phys., Trieste, 1974), Vol. I, pp. 291–328. Internat. Atomic Energy Agency, Vienna, 1976.
* {{cite journal|doi=10.4064/ap-11-1-49-74|title=On the asymptotic coincidence of sets filled up by integrals of two systems of ordinary differential equations|year=1961|last1=Olech|first1=C.|journal=Annales Polonici Mathematici|volume=11|pages=49–74}}
*''The achievements of Tadeusz Ważewski in the mathematical theory of optimal control''. (Polish) Wiadom. Mat. (2) 20 (1976), no. 1, 66—69. 49-03
* {{cite journal|doi=10.4064/ap-8-1-61-63|title=A simple proof of a certain result of Z. Opial|year=1960|last1=Olech|first1=C.|journal=Annales Polonici Mathematici|volume=8|pages=61–63}}
*with Szarski, J. ; Szmydt, Z. ''Tadeusz Ważewski (1896--1972)''. (Polish) Wiadom. Mat. (2) 20 (1976), no. 1, 55—62.
* {{cite journal|doi=10.4064/ap-7-3-247-254|title=Sur une inégalité différentielle|year=1960|last1=Opial|first1=Z.|last2=Olech|first2=C.|journal=Annales Polonici Mathematici|volume=7|issue=3|pages=247–254}}
*[https://archive.today/20130203014855/http://www.springerlink.com/content/h621733k761t2150/ ''Weak lower semicontinuity of integral functionals. Existence theorem issue'']. J. Optimization Theory Appl. 19 (1976), no. 1, 3--16.
* {{cite journal|doi=10.1007/BF02415206|title=Sur un problème de M. G. Sansone lié à la théorie du synchrotrone|year=1957|last1=Olech|first1=Czeslaw|journal=Annali di Matematica Pura ed Applicata|volume=44|pages=317–329}}
*[https://web.archive.org/web/20120829162431/http://md1.csa.com/partners/viewrecord.php?requester=gs&collection=TRD&recid=A7610045AH&q=Existence+theory+in+optimal+control+problems+in+the+underlying+ideas&uid=790688917&setcookie=yes ''Existence theory in optimal control problems in the underlying ideas'']. International Conference on Differential Equations (Proc., Univ. Southern California, Los Angeles, Calif., 1974), pp. 612–635. Academic Press, New York, 1975.
* {{cite journal|doi=10.4064/ap-3-2-189-199|title=Sur certaines propriétés des intégrales de l'équation y'=f(x,y) dont le second membre est doublement périodique|year=1957|last1=Olech|first1=C.|journal=Annales Polonici Mathematici|volume=3|issue=2|pages=189–199}}
*''Existence of solutions of non-convex orientor fields''. Collection of articles dedicated to Giovanni Sansone on the occasion of his eighty-fifth birthday. Boll. Un. Mat. Ital. (4) 11 (1975), no. 3, suppl., 189—197.
* {{cite journal|doi=10.4064/ap-1-1-176-183|title=Contribution à la théorie de la formule simpsonienne des quadratures approchées|year=1955|last1=Olech|first1=C.|last2=Gołąb|first2=Stanisław|journal=Annales Polonici Mathematici|volume=1|pages=176–183}}
*[http://epubs.siam.org/sicon/resource/1/sjcodc/v12/i2/p311_s1?isAuthorized=no ''The characterization of the weak closure of certain sets of integrable functions'']. Collection of articles dedicated to the memory of Lucien W. Neustadt. SIAM J. Control 12 (1974), 311—318.
*with Kaczyński, H. ''Existence of solutions of orientor fields with non-convex right-hand side''. Collection of articles dedicated to the memory of Tadeusz Ważewski. Ann. Polon. Math. 29 (1974), 61—66.
*with Szarski, J. ; Szmydt, Z. ''Tadeusz Ważewski (1896--1972)''. Collection of articles dedicated to the memory of Tadeusz Ważewski. Ann. Polon. Math. 29 (1974), 1--13.
*with Węgrzyn, S. ; Skowronek, M. ''Optimization of a sequence of operations at limitations imposed on particular operations''. Bull. Acad. Polon. Sci. Sér. Sci. Tech. 20 (1972), 65—68.
*''Convexity in existence theory of optimal solution''. Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 3, pp. 187–192. Gauthier-Villars, Paris, 1971.
*with Węgrzyn, Stefan ; Skowronek, Marcin. ''Optimization of sequences of operations under constraints on the individual operations''. (Polish) Podstawy Sterowania 1 (1971), 147—151.
*[http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WJ2-4CRM6GH-1P&_user=10&_coverDate=11%2F30%2F1969&_alid=1740330298&_rdoc=9&_fmt=high&_orig=search&_origin=search&_zone=rslt_list_item&_cdi=6866&_sort=r&_st=13&_docanchor=&view=c&_ct=38&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=f90df2f9a86e6e6c8982491679a47d3e&searchtype=a ''Existence theorems for optimal control problems involving multiple integrals'']{{dead link|date=February 2020|bot=medic}}{{cbignore|bot=medic}}. J. Differential Equations 6 1969 512—526.
*[http://www.ams.org/journals/tran/1969-136-00/S0002-9947-1969-0234338-5/home.html ''Existence theorems for optimal problems with vector-valued cost function'']. Trans. Amer. Math. Soc. 136 1969 159—180.
*with Lasota, A. ''On Cesari's semicontinuity condition for set valued mappings''. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 16 1968 711—716.
*[https://doi.org/10.1007%2FBF01694009 ''On the range of an unbounded vector-valued measure'']. Math. Systems Theory 2 1968 251—256.
*''On Approximation of set-valued functions by continuous functions''. Colloq. Math. 19 1968 285—293.
*with Szegë, G. P. ; Cellina, A. [https://doi.org/10.1007%2FBF02415111 ''On the stability properties of a third order system'']. Ann. Mat. Pura Appl. (4) 78 1968 91—103.
*[https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19670022086_1967022086.pdf ''Lexicographical order, range of integrals and "bang-bang" principle'']. 1967 Mathematical Theory of Control (Proc. Conf., Los Angeles, Calif., 1967) pp. 35–45 Academic Press, New York
*with Klee, Victor. ''Characterizations of a class of convex sets''. Math. Scand 20 1967 290—296.
*with Pliś, A. ''Monotonicity assumption in uniqueness criteria for differential equations''. Colloq. Math. 18 1967 43—58.
*''On a system of integral inequalities''. Colloq. Math. 16 1967 137—139.
*with Lasota, A. ''On the closedness of the set of trajectories of a control system''. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 14 1966 615—621.
*with Lasota, A.'' An optimal solution of Nicoletti's boundary value problem''. Ann. Polon. Math. 18 1966 131—139.
*[http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WJ2-4D8DDV3-4J&_user=10&_coverDate=01%2F31%2F1966&_alid=1740330298&_rdoc=13&_fmt=high&_orig=search&_origin=search&_zone=rslt_list_item&_cdi=6866&_sort=r&_st=13&_docanchor=&view=c&_ct=38&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=f25f40bc64eca1f1ebe07f377c6ad040&searchtype=a ''Extremal solutions of a control system'']{{dead link|date=February 2020|bot=medic}}{{cbignore|bot=medic}}. J. Differential Equations 2 1966 74—101.
*''Contribution to the time optimal control problem''. Abh. Deutsch. Akad. Wiss. Berlin Kl. Math. Phys. Tech. 1965 1965 no. 2, 438—446 (1966).
*''A note concerning set-valued measurable functions''. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 13 1965 317—321.
*''A note concerning extremal points of a convex set''. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 13 1965 347—351.
*[http://aif.cedram.org/item?id=AIF_1964__14_1_87_0 ''Global phase-portrait of a plane autonomous system'']. Annales de l'Institut Fourier (Grenoble) 14 1964 fasc. 1, 87—97.
*with Mlak, W. ''Integration of infinite systems of differential inequalities''. Ann. Polon. Math. 13 1963 105—112.
*[https://doi.org/10.1007%2FBFb0065573 ''On the global stability of an autonomous system on the plane'']. Contributions to Differential Equations 1 1963 389—400.
*with Meisters, Gary H. [http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.dmj/1077374525 ''Locally one-to-one mappings and a classical theorem on schlicht functions'']. Duke Math. J. 30 1963 63—80.
*with Hartman, Philip. [https://www.jstor.org/pss/1993939 ''On global asymptotic stability of solutions of differential equations'']. Trans. Amer. Math. Soc. 104 1962 154—178.
*''A connection between two certain methods of successive approximations in differential equations''. Ann. Polon. Math. 11 1962 237—245.
*''On the asymptotic coincidence of sets filled up by integrals of two systems of ordinary differential equations''. Ann. Polon. Math. 11 1961 49—74.
*''On the existence and uniqueness of solutions of an ordinary differential equation in the case of Banach space''. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 8 1960 667—673.
*''Remarks concerning criteria for uniqueness of solutions of ordinary differential equations''. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 8 1960 661—666.
*''A simple proof of a certain result of Z. Opial''. Ann. Polon. Math. 8 1960 61—63.
*with Opial, Z. [http://matwbn.icm.edu.pl/ksiazki/apm/apm7/apm732.pdf ''Sur une inégalité différentielle'']. (Italian) Ann. Polon. Math. 7 1960 247—254.
*''Estimates of the exponential growth of solutions of a second order ordinary differential equation''. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 7 1959 487—494 (unbound insert).
*''Periodic solutions of a system of two ordinary differential equations''. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 7 1959 137—140.
*''Asymptotic behaviour of the solutions of second order differential equations''. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 7 1959 319—326 (unbound insert).
*''On the characteristic exponents of the second order linear ordinary differential equation''. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 6 1958 573—579.
*[https://doi.org/10.1007%2FBF02415206 ''Sur un problème de M. G. Sansone lié à la théorie du synchrotrone'']. (French) Ann. Mat. Pura Appl. (4) 44 1957 317—329.
*''On surfaces filled up by asymptotic integrals of a system of ordinary differential equations''. Bull. Acad. Polon. Sci. Cl. III. 5 (1957), 935—941, LXXIX.
*with Opial, Z. ; Ważewski, T. ''Sur le problème d'oscillation des intégrales de l'équation'' y"+g(t)y=0. (French) Bull. Acad. Polon. Sci. Cl. III. 5 (1957), 621—626, LIII.
*[http://matwbn.icm.edu.pl/ksiazki/apm/apm3/apm322.pdf ''Sur certaines propriétés des intégrales de l'équation y'=f(x,y), dont le second membre est doublement périodique'']. (French) Ann. Polon. Math. 3 (1957), 189—199.
*''On the asymptotic behaviour of the solutions of a system of ordinary non-linear differential equations''. Bull. Acad. Polon. Sci. Cl. III. 4 (1956), 555—561.
*with Gołąb, S. ''Contribution à la théorie de la formule simpsonienne des quadratures approchées''. (French) Ann. Polon. Math. 1, (1954). 176—183.<ref>{{Cite web | url=http://www.impan.pl/Great/Olech/publications.html |title = Czeslaw Olech publications}}</ref>


==Notes and references==
==Notes and references==

Revision as of 20:28, 16 April 2020

Czesław Olech
Born(1931-05-22)22 May 1931
Pińczów, Poland
Died1 July 2015(2015-07-01) (aged 84)
NationalityPolish
Alma materJagiellonian University, Kraków
SpouseJadwiga Jastrzębska
Children
  • Teresa (b. 1955)
  • Anna (b. 1956)
  • Wanda (b. 1959)
  • Barbara (b. 1963)
  • Janusz (b. 1963)
Scientific career
FieldsMathematics
Doctoral advisorTadeusz Ważewski

Czesław Olech (22 May 1931 – 1 July 2015) was a Polish mathematician. He was a representative of the Kraków school of mathematics, especially the differential equations school of Tadeusz Ważewski.

Education and career

In 1954 he completed his mathematical studies at the Jagiellonian University in Kraków, obtained his doctorate at the Institute of Mathematical Sciences in 1958, habilitation in 1962, the title of associate professor in 1966, and the title of professor in 1973.

Czeslaw Olech, often as a visiting professor, was invited by the world's leading mathematical centers in the United States, USSR (later Russia), Canada and many European countries. He cooperated with Solomon Lefschetz, Sergey Nikolsky, Philip Hartman and Roberto Conti, the most distinguished mathematicians involved in the theory of differential equations. Lefschetz highly valued Ważewski's school, and especially the retract method, which Olech applied by developing, among other things, control theory. He supervised nine doctoral dissertations, and reviewed a number of theses and dissertations.[1]

Main fields of research interest

Recognition

Honorary doctorates:

Membership of:

Awards and honours:

Publications

  • Szafraniec, F.; Olech, Cz.; Janas, J. (1997). "Włodzimierz Mlak (1931-1994)". Annales Polonici Mathematici. 66: 1–9. doi:10.4064/ap-66-1-1-9.
  • Meisters, Gary H.; Olech, Czesław (1993). "Power-exact, nilpotent, homogeneous matrices". Linear and Multilinear Algebra. 35 (3–4): 225–236. doi:10.1080/03081089308818260.
  • Meisters, Gary H.; Olech, Czeslaw (1991). "Strong nilpotence holds in dimensions up to five only∗". Linear and Multilinear Algebra. 30 (4): 231–255. doi:10.1080/03081089108818109.
  • Olech, C.; Parthasarathy, T.; Ravindran, G. (1991). "Almost N-matrices and linear complementarity". Linear Algebra and Its Applications. 145: 107–125. doi:10.1016/0024-3795(91)90290-D.
  • Olech, Czesław; Meisters, Gary H. (1990). "A Jacobian condition for injectivity of differentiable plane maps". Annales Polonici Mathematici. 51: 249–254. doi:10.4064/ap-51-1-249-254.
  • Olech, Czesław; Lasota, Andrzej (1990). "Zdzisław Opial---a mathematician 1930--1974". Annales Polonici Mathematici. 51: 7–13. doi:10.4064/ap-51-1-7-13.
  • Olech, Czesraw (1990). "The Lyapunov Theorem: Its extensions and applications". Methods of Nonconvex Analysis. Lecture Notes in Mathematics. Vol. 1446. pp. 84–103. doi:10.1007/BFb0084932. ISBN 978-3-540-53120-3.
  • Olech, Czeslaw (1987). "Onn-dimensional extensions of Fatou's lemma". Zamp Zeitschrift für Angewandte Mathematik und Physik. 38 (2): 266–272. doi:10.1007/BF00945411.
  • Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czesław (1986). "Controllability of Convex Processes". Siam Journal on Control and Optimization. 24 (6): 1192–1211. doi:10.1137/0324072.
  • Olech, Czesław (1984). "Decomposability as a substitute for convexity". Multifunctions and Integrands. Lecture Notes in Mathematics. Vol. 1091. pp. 193–205. doi:10.1007/BFb0098812. ISBN 978-3-540-13882-2.
  • Frankowska, Halina; Olech, Czeslaw (1982). "Boundary solutions of differential inclusion". Journal of Differential Equations. 44 (2): 156–165. doi:10.1016/0022-0396(82)90011-0.
  • Olech, C. (1976). "Weak lower semicontinuity of integral functionals". Journal of Optimization Theory and Applications. 19: 3–16. doi:10.1007/BF00934048.
  • Olech, Czeslaw (1975). "Existence Theory in Optimal Control Problems - the Underlying Ideas". International Conference on Differential Equations. pp. 612–635. doi:10.1016/B978-0-12-059650-8.50050-8. ISBN 9780120596508.
  • Olech, Czeslaw (1974). "The Characterization of the Weak Closure of Certain Sets of Integrable Functions". Siam Journal on Control. 12 (2): 311–318. doi:10.1137/0312024.
  • Olech, Czełsaw (1969). "Existence theorems for optimal control problems involving multiple integrals". Journal of Differential Equations. 6 (3): 512–526. doi:10.1016/0022-0396(69)90007-2.
  • Olech, Czesław (1969). "Existence theorems for optimal problems with vector-valued cost function". Transactions of the American Mathematical Society. 136: 159. doi:10.1090/S0002-9947-1969-0234338-5.
  • Olech, Czesław (1968). "On the range of an unbounded vector-valued measure". Mathematical Systems Theory. 2 (3): 251–256. doi:10.1007/BF01694009.
  • Olech, Czesław (1968). "Approximation of set-valued functions by continuous functions". Colloquium Mathematicum. 19 (2): 285–293. doi:10.4064/cm-19-2-285-293.
  • Szegö, G. P.; Olech, C.; Cellina, A. (1968). "On the stability properties of a third order system". Annali di Matematica Pura ed Applicata. 78: 91–103. doi:10.1007/BF02415111.
  • Klee, Victor; Olech, Czeslaw (1967). "Characterizations of a Class of Convex Sets". Mathematica Scandinavica. 20: 290. doi:10.7146/math.scand.a-10839.
  • Pliś, A.; Olech, C. (1967). "Monotonicity assumption in uniqueness criteria for differential equations". Colloquium Mathematicum. 18: 43–58. doi:10.4064/cm-18-1-43-58.
  • Olech, C. (1967). "On a system of integral inequalities". Colloquium Mathematicum. 16: 137–139. doi:10.4064/cm-16-1-137-139.
  • Olech, C.; Lasota, A. (1966). "An optimal solution of Nicoletti's boundary value problem". Annales Polonici Mathematici. 18 (2): 131–139. doi:10.4064/ap-18-2-131-139.
  • Olech, Czesław (1966). "Extremal solutions of a control system". Journal of Differential Equations. 2: 74–101. doi:10.1016/0022-0396(66)90064-7.
  • Olech, Czeslaw (1964). "Global phase- portrait of a plane autonomous system". Annales de l'Institut Fourier. 14: 87–97. doi:10.5802/aif.164.
  • Olech, C.; Mlak, W. (1963). "Integration of infinite systems of differential inequalities". Annales Polonici Mathematici. 13: 105–112. doi:10.4064/ap-13-1-105-112.
  • Meisters, G. H.; Olech, C. (1963). "Schlicht functions". Duke Mathematical Journal. 30: 63–80. doi:10.1215/S0012-7094-63-03008-4.
  • Hartman, Philip; Olech, Czeslaw (1962). "On Global Asymptotic Stability of Solutions of Differential Equations". Transactions of the American Mathematical Society. 104 (1): 154–178. doi:10.2307/1993939. JSTOR 1993939.
  • Olech, C. (1962). "A connection between two certain methods of successive approximations in differential equations". Annales Polonici Mathematici. 11 (3): 237–245. doi:10.4064/ap-11-3-237-245.
  • Olech, C. (1961). "On the asymptotic coincidence of sets filled up by integrals of two systems of ordinary differential equations". Annales Polonici Mathematici. 11: 49–74. doi:10.4064/ap-11-1-49-74.
  • Olech, C. (1960). "A simple proof of a certain result of Z. Opial". Annales Polonici Mathematici. 8: 61–63. doi:10.4064/ap-8-1-61-63.
  • Opial, Z.; Olech, C. (1960). "Sur une inégalité différentielle". Annales Polonici Mathematici. 7 (3): 247–254. doi:10.4064/ap-7-3-247-254.
  • Olech, Czeslaw (1957). "Sur un problème de M. G. Sansone lié à la théorie du synchrotrone". Annali di Matematica Pura ed Applicata. 44: 317–329. doi:10.1007/BF02415206.
  • Olech, C. (1957). "Sur certaines propriétés des intégrales de l'équation y'=f(x,y) dont le second membre est doublement périodique". Annales Polonici Mathematici. 3 (2): 189–199. doi:10.4064/ap-3-2-189-199.
  • Olech, C.; Gołąb, Stanisław (1955). "Contribution à la théorie de la formule simpsonienne des quadratures approchées". Annales Polonici Mathematici. 1: 176–183. doi:10.4064/ap-1-1-176-183.

Notes and references

  1. ^ "Profesor Czeslaw Olech". Retrieved 17 July 2015.
  2. ^ https://www.vatican.va/roman_curia/pontifical_academies/acdscien/own/documents/olechnew.html
  3. ^ "Olech". Retrieved 17 July 2015.
  4. ^ "Olech". Retrieved 17 July 2015.

External links

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