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dr hab.
Marek Galewski

Zakład: Zakład modelowania matematycznego
Stanowisko: prof. nadzw.
Pokój: 143
Telefon: (+48) 42 631-38-63
e-mail: marek.galewski@p.lodz.pl
Dyżur: wt 8:30-10:00

Doktoranci:

  • Marcin Koniorczyk, Twierdzenia o globalnym dyfeomorfizmie i ich zastosowanie, 2017
  • Piotr Kowalski, Zastosowanie metod wariacyjnych oraz twierdzeń o punktach stałych w badaniu zagadnień brzegowych Dirichleta (IM PAN), 2016
  • Renata Wieteska, Metody wariacyjne w badaniu dyskretnych równań różnicowych zawierających operator p(k)-Laplace'a, 2015
  • Joanna Smejda, Zastosowanie metod wariacyjnych w badaniu zadań brzegowych opisywanych przez równania różnicowe (Wydz. Mat. i Inf. UŁ), 2013

Publikacje naukowe:

  • J. Diblik, Marek Galewski, Marcin Koniorczyk, E. Schmeidel, An application of a diffeomorphism theorem to volterra integral operator, Differential and Integral Equations (30 pkt.), 31 (7-8) (2018), 621-642, JCR
  • Marek Galewski, Shapour Heidarkhani, Amjad Salari, Multiplicity results for discrete anisotropic equations, Discrete and Continuous Dynamical Systems - Series B (30 pkt.), 23(1) (2018), 203-218, JCR
  • Marek Galewski, Dušan Repovš, Global invertibility of mappings between Banach spaces and applications to nonlinear equations, Electronic Journal of Differential Equations (25 pkt.), Two nonlinear days in Urbino 2017, Conference 25 (2018), 87-102, JCR
  • Marek Galewski, Toufik Moussaoui, Ibrahim Soufi, On the existence of solutions for a boundary value problem on the half-line, Electronic Journal of Qualitative Theory of Differential Equations (30 pkt.), 12 (2018), 1?12, JCR
  • Michał Bełdziński, Marek Galewski, Global diffeomorphism theorem applied to the solvability of discrete and continuous boundary value problems, Journal of Difference Equations and Applications (25 pkt.), 24 (2) (2018), 277?290, JCR
  • Marek Galewski, Marius Rădulescu, On a global implicit function theorem for locally Lipschitz maps via non-smooth critical point theory, Quaestiones Mathematicae (20 pkt.), 41 (4) (2018), 515–528, JCR
  • Marek Galewski, Marcin Koniorczyk, On a global implicit function theorem and some applications to integro-differential initial value problems, Acta Mathematica Hungarica (15 pkt.), 148/ (2016), 257-278, JCR
  • Marek Galewski, Renata Wieteska, Existence and multiplicity results for boundary value problems connected with the discrete p ( ?) ?Laplacian on weighted finite graphs,, Applied Mathematics and Computation (35 pkt.), 290 (2016), 376?391, JCR
  • Marek Galewski, Optimization problems on the Sierpinski gasket, Electronic Journal of Differential Equations (25 pkt.), 105 (2016), 1-11, JCR
  • Marek Galewski, Ewa Schmeidel, On the well posed solutions for nonlinear second order neutral difference equations,, Mathematica Slovaca (15 pkt.), 66 (4) (2016), 1?12, JCR
  • Marek Galewski, A note on a global invertibility of mappings on R^n,, Quaestiones Mathematicae (20 pkt.), 39 (2016), 683-688,JCR
  • Marek Galewski, Giovanni Molica Bisci, Renata Wieteska, Existence and multiplicity of solutions to discrete inclusions with the p(k)- Laplacian problem, J. Differ. Equ. Appl, , (2015), DOI: 10.1080/10236198.2015.1056177, JCR
  • Marek Galewski, Ewa Schmeidel, Non-spurious solutions to discrete boundary value problems through variational methods, Journal of Difference Equations and Applications, . (2015), DOI: 10.1080/10236198.2015.1067694, JCR
  • Marek Galewski, Giovanni Molica Bisci, Existence results for one-dimensional fractional equations, Math. Models Methods Appl. Sci., , (2015), DOI: 10.1002/mma.3582, JCR
  • Marek Galewski, Marcin Koniorczyk, On a global diffeomorphism between two Banach spaces and some application, Studia Scientiarum Mathematicarum Hungarica, 52 (2015), 65?86, JCR
  • Marek Galewski, On a new multiple critical point theorem and some applications to anisotropic problems, Taiwanese J. Math., 5 (2015), 1495-1508 JCR
  • Marek Galewski, Andrzej Nowakowski, Donal O?Regan, Aleksandra Orpel, The dual variational method for n-th order ODEs with multipoint boundary conditions, Applicable Analysis, 5 (2014), 957?971, JCR
  • Marek Galewski, Piotr Kowalski, Three solutions to discrete anisotropic problems with two parameters, Cent. Eur. J. Math., 12 (2014), 1403-1415, JCR
  • Marek Galewski, Renata Wieteska, Multiple periodic solutions to a discrete p(k) - Laplacian problem, Discrete Contin. Dyn. Syst. Ser. B, 19 (8) (2014), 2535 - 2547, JCR
  • Urszula Ledzewicz, Marek Galewski, Andrzej Nowakowski, Andrzej Swierniak, Agnieszka Kalamajska, Ewa Schmeidel, Preface [Special issue in honor of Avner Friedman], Discrete Contin. Dyn. Syst. Ser. B, 19 (8) (2014), i?ii
  • Marek Galewski, A. Nowakowski, U. Ledzewicz, E. Schmeidel, A. Świerniak, A. Kałamajska., Preface, Discrete Contin. Dyn. Syst., Ser. B, 8 (2014), doi:10.3934/dcdsb.2014.19.8i, JCR
  • E. Galewska, Marek Galewski, E. Schmeidel, Conditions for having a diffeomorphis between two Banach spaces, Electron. J. Diff. Equ., 99 (2014), 1-6, JCR
  • Marek Galewski, Robert Jankowski, Magdalena Nockowska-Rosiak, Ewa Schmeidel, On the existence of bounded solutions for nonlinear second order neutral difference equations, Electron. J. Qual. Theory Differ. Equ., 72 (2014), 1-12, JCR
  • Marek Galewski, Elżbieta Galewska, On a new critical point theorem and some applications to discrete equations, Opuscula Math., 4 (2014), 725-732
  • Marek Galewski, On a second order coercive Dirichlet problem with a non-differentiable action functional, Studia Scientiarum Mathematicarum Hungarica, 51 (1) (2014), 17-23, JCR
  • Marek Galewski, Renata Wieteska, Existence and multiplicity of positive solutions for discrete anisotropic equations, Turk. J. Math., 38 (2014), 297-310, JCR
  • Marek Galewski, J. Smejda, On the dependence on parameters for mountain pass solutions of second order discrete BVP?s, Appl. Math. Comput, 19 (11) (2013), 5963-5971,JCR
  • Marek Galewski, Renata Wieteska, A note on the multiplicity of solutions to anisotropic discrete BVP's, Appl. Math. Lett, 26 (2013), 524-529, JCR
  • Marek Galewski, Min-Max solutions for the impulsive boundary value problems for the (p_1(t),p_2(t))-Laplacian systems, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal., 20 (4) (2013), 407-422
  • Marek Galewski, Uniqueness of solutions for discrete boundary value problems, Dyn. Syst. Appl., 22 (2013), 105-114, JCR
  • Marek Galewski, Szymon Głąb, Renata Wieteska, Positive solutions for anisotropic discrete boundary-value problems, Electron. J. Diff. Equ, 32 (2013), 1-9, JCR
  • Marek Galewski, Renata Wieteska, On the system of anisotropic discrete BVPs, J. Differ. Equ. Appl, 19 (7) (2013), 1065?1081, JCR
  • Marek Galewski, D.O'Regan, On Well Posed Impulsive Boundary Value Problems for p(t)-Laplacian's, Math. Model. Anal., 18 (2013), 161-175, JCR
  • Marek Galewski, Joanna Smejda, On some discrete boundary value problem with parameters, Appl. Math. Comput., 218 (2012), 10708-10716, JCR
  • Marek Galewski, Szymon Głąb, Continuous dependence on parameters for second order discrete BVP?s, Cent. Eur. J. Math., 10 (2012), 1076 -1083, JCR
  • Marek Galewski, On variational impulsive boundary value problems, Cent. Eur. J. Math., 10 (2012), 1969-1980, JCR
  • Marek Galewski, Donal O'Regan, Impulsive boundary value problems for p(t)-Laplacian´s via critical point theory, Czech. Math. J.l, 4 (2012), 951-967, JCR
  • Marek Galewski, Joanna Smejda, Some remarks on nonlinear discrete boundary value problems, Demonstr. Math., 45 (2012), 575-583
  • Marek Galewski, A note on the well-posed anisotropic discrete BVPs, J. Differ. Equ. Appl, 9 (2012), 1607-1610, JCR
  • Marek Galewski, A note on the dependence on parameters for a nonlinear system via monotonicity theory, J. Differ. Equ. Appl, Vol., 7 (2012), 1253-1256, JCR
  • Marek Galewski, Szymon Głąb, On the discrete boundary value problem for anisotropic equation, J.Math.Anal.Appl., 386 (2012), 956-965, JCR
  • Marek Galewski, J.Smejda, A note on a fourth order discrete boundary value problem, Opuscula Math., 32 (2012), 115-123
  • Marek Galewski, On the nonlinear elastic simply supported beam equation, An. Stiint. Univ. Ovidius Constanta, 19 (2011), 109-120, JCR
  • Marek Galewski, A note on the multiplicity of solutions for a second-order difference equation with a parameter, Appl. Math. Comput., 218 (2011), 3954-3956, JCR
  • Marek Galewski, Dependence on parameters for a discrete Emden-Fowler equation, Appl. Math. Comput., 218 (2011), 1247-1253, JCR
  • Marek Galewski, On the existence of solutions for a system of difference equations with non-monotone nonlinearity, Appl. Math. Lett., 24 (2011), 2015-2018, JCR
  • Marek Galewski, On the dual variational method for a system of nonlinear equations with a parameter, Dyn. Contin. Discrete Impulsive Syst., 18 (2011), 699-704, JCR
  • Marek Galewski, On the Dirichlet problem for a Duffing type equation, Electron. J. Qual. Theory Differ. Equ., 15 (2011), 1-12, JCR
  • Marek Galewski, Dependence on parameters for discrete second-order boundary value problems, J. Differ. Equ. Appl, 17 (2011), 1441-1453, JCR
  • Marek Galewski, A note on the existence of solutions for difference equations via variational methods, J. Difference Equ. Appl, 17 (2011), 643?646, JCR
  • Marek Galewski, A note on existence and stability of solutions for semilinear Dirichlet problems, Proc. Indian Acad. Sci. (Math. Sci), 2 (2011), 201-215, JCR
  • Marek Galewski, Aleksandra Orpel, On the existence of solutions for discrete elliptic boundary value problems, Appl. Anal., 12 (2010), 1879?1891, JCR
  • Marek Galewski, On the Dirichlet problem for a nonlinear elastic beam equation, Appl. Math. Comput., 217 (2010), 4295-4301, JCR
  • Marek Galewski, On the existence of solutions for a nonlinear equation by a dual variational method, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia, 57 (2010), 27-30
  • Marek Galewski, Smejda Joanna, On a fourth order Dirichlet problem, Georgian Math.J., 17 (2010), 495-509, JCR
  • Marek Galewski, J. Smejda, On variational methods for nonlinear difference equations, J. Comput. Appl. Math., 233 (2010), 2985-2993, JCR
  • Marek Galewski, A note on the existence of a bounded solution for a nonlinear system of difference equations, J. Difference Equ. Appl., 16 (2010), 121-124, JCR
  • Marek Galewski, A note on the existence of solutions for difference equations via variational methods, J. Difference Equ. Appl., 17 (2010), 643-646, JCR
  • Marek Galewski, A note on a Dirichlet problem with concave-convex nonlinearity, Math. Slovaca, 60 (2010), 353-360, JCR
  • Marek Galewski, On the Dirichlet problem with nonconvex nonlinearity, Studia Sci. Math. Hungar., 2 (2010), 190-199, JCR
  • Marek Galewski, On existence and stability of solutions for higher order semilinear Dirichlet problems, Proc. Indian Acad. Sci. Math. Sci., 118 (2009), 627-635, JCR
  • Marek Galewski, On the optimal control problem governed by the nonlinear elastic beam equation, Appl. Math. Comput., 203 (2008), 916–-920, JCR
  • Marek Galewski, On the nonlinear elastic beam equation, Appl. Math. Comput., 202 (2008), 427–-434, JCR
  • Marek Galewski, Existence of bounded solutions for fourth order Dirichlet problems with convex-concave nonlinearity, Demonstratio Math., 42 (2008), 75-–81
  • Marek Galewski, Dual Variational Method for a Fourth Order Dirichlet Problem, Georgian Math. J., 15 (2008), 653–-664, JCR
  • Marek Galewski, The existence of solutions for nonlinear operator equations, Georgian Math. J., 15 (2008), 45–-52, JCR
  • Marek Galewski, On a Dirichlet problem with p(x)-Laplacian, J. Math. Anal. Appl., 337 (2008), 281-291, JCR
  • Marek Galewski, A. Orpel, On the existence and stability of solutions for a system of elliptic equations, Mediterr. J. Math., 5 (2008), 187–-198, JCR
  • Marek Galewski, A note on the stability and the approximation of solutions for a Dirichlet problem with p(x)-Laplacian, ANZIAM J., 49 (2007), 1-9, JCR
  • Marek Galewski, On the Existence and Stability of Higher Order Dirichlet Problems, Appl. Anal., 86 (2007), 1077–-1086, JCR
  • Marek Galewski, On the Existence of Solutions for a abstract nonlinear operator equations, Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat., 10 (2007), 1089–-1100
  • Marek Galewski, M. Płócienniczak, On existence and stability of solutions to elliptic systems with generalized growth, Bull. Aust. Math. Soc., 76 (2007), 453-470, JCR
  • Marek Galewski, M. Płócienniczak, On the nonlinear Dirichlet problem with p(x)-Laplacian, Bull. Aust. Math. Soc., 75 (2007), 381-395, JCR
  • Marek Galewski, On the Dirichlet problem of elliptic type, Bull. Aust. Math. Soc., 75 (2007), 169-177, JCR
  • Marek Galewski, M. Płócienniczak, On the existence and the stability of solutions for higher order semilinear Dirichlet problems, Czech. Math. J., 57 (2007), 647-669, JCR
  • Marek Galewski, On the existence and stability of solutions for Dirichlet problem with p(x)-Laplacian, J. Math. Anal. Appl., 326 (2007), 352-362, JCR
  • Marek Galewski, On the existence and stability of solutions for pseudo-Laplacian equation with p(x)-growth, Numer. Funct. Anal. Optim., 28 (2007), 1-25, JCR
  • Marek Galewski, Existence and stability of solutions for nonlinear abstract equations, Numer. Funct. Anal. Optim., 28 (2007), 647-661, JCR
  • Marek Galewski, On a Dirichlet problem with generalized p(X) Laplacian and some applications., Numer. Funct. Anal. Optim., 9-10 (2007), 1087-1111, JCR
  • Marek Galewski, Existence and stability of solutions for semilinear Dirichlet problems, Ann. Polon. Math., 88 (2006), 127-139, JCR
  • E. Galewska, Marek Galewski, On the stability of solutions for the p(x)-Laplacian equation and some applications to optimization problems with state constraints, ANZIAM J., 48 (2006), 245-257, JCR
  • Marek Galewski, On the continuity of the Niemytskij operator between spaces L^{p1(x)} and L^{p2(x)}, Georgian Math. J., 13 (2006), 261-265, JCR
  • Marek Galewski, A note on stability of solutions for abstract semilinear Dirichlet problems, J. Appl. Anal., 12 (2006), 71-81
  • Marek Galewski, Existence, stability and approximation of solutions for a certain class of nonlinear BVPs, Nonlinear Anal., 65 (2006), 159-174, JCR
  • Marek Galewski, A. Nowakowski, Existence of solutions for a nonlinear wave equation, Topol. Methods Nonlinear Anal., 28 (2006), 385-399, JCR
  • E. Galewska, Marek Galewski, On convexifiable nonlinear programming problems with nonnegative variable, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia, 53 (2005), 235-242
  • Marek Galewski, A new variational method for the p(x)-Laplacian equation, Bull. Aust. Math. Soc., 72 (2005), 53-65, JCR
  • E. Galewska, Marek Galewski, r-convex transformability in nonlinear programming problems, Comment. Math. Univ. Carolin., 46 (2005), 555-565
  • Marek Galewski, A note on invex problems with nonnegative variable, European J. Oper. Res., 163 (2005), 565-568, JCR
  • Marek Galewski, Stability of solutions for an abstract Dirichlet problem, Ann. Polon. Math., 83 (2004), 273-280, JCR
  • Marek Galewski, On a du Bois-Reymond type lemma and some applications to abstract equations, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia, 52 (2004), 183-190
  • Marek Galewski, The existence of solutions for a semilinear abstract Dirichlet problem, Georgian Math. J., 11 (2004), 243-254, JCR
  • Marek Galewski, New variational principle and duality for a certain class of nonlinear operator equations, Numer. Funct. Anal. Optim., 25 (2004), 309-320, JCR
  • Marek Galewski, New variational principle and duality for an abstract semilinear Dirichlet problem, Ann. Pol. Math., 82 (2003), 51-60
  • Marek Galewski, A note on a Fenchel-Young conjugacy for convexi…able functions, Control Cybernet., 32 (2003), 377-381, JCR
  • Marek Galewski, On a certain generalization of the Krasnosel'skij theorem, J. Appl. Anal., 9 (2003), 139-147
  • Marek Galewski, On a Fenchel-Young type conjugacy for invex functions, Numer. Funct. Anal. Optimization, 24 (2003), 59-66, JCR
  • Marek Galewski, A remark on problems with nonnegative variable in mathematical programming, Folia Sci Univ. Techn. Resov. Matem., obecna nazwa czasopisma: J. Math. Anal. Appl., 26 (2002),
  • Marek Galewski, On invexity and uniqueness in the calculus of variations, Lecture Notes in Nonlinear Analysis, 3 (2002), 79-83
  • Marek Galewski, On some connections between invex and convex problems in nonlinear programming, Control Cybern., 30 (2001), 11-22, JCR
  • Marek Galewski, On some duality for nonsmooth invex functions, Soc. Sci. Lett. Lódź, Sér. Rech. Déform., XXVIII (1999), 17-25

Książki:

  • Marek Galewski, Marcin Koniorczyk, Global invertibility theorems and their applications - a variational approach, Lodz University Of Technology Press, 2016

Instytut Matematyki Wydział FTIMS Politechnika Łódzka, 90-924 Łódź, ul. Wólczańska 215, tel. 42 631-36-17, fax. 42 631-38-65