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Abstrakty
We consider the Dirichlet boundary value problem for higher order O. D. E. with nonlinearity being the sum of a derivative of a convex and of a concave function in case when no growth condition is imposed on the concave part.
Wydawca
Czasopismo
Rocznik
Tom
Strony
75--81
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
- Faculty of Mathematics and Computer Science University of Łódź Banacha 22 90-238 Łódź, Poland, galewski@math.uni.lodz.pl
Bibliografia
- [1] I. Ekeland, R. Temam, Convex Analysis and Variational Problems, North-Holland, Amsterdam, 1976.
- [2] T. Kato, Perturbation Theory for Linear Operators, Springer Verlag, Berlin, Heildelberg, New York, 1980.
- [3] F. Li, Q. Zhang, Z. Liang, Existence and multiplicity of solutions of a kind of fourth order boundary value problem, Nonlinear Anal. 62 (2005), 803-816.
- [4] M. Galewski, Existence and stability of solutions for semilinear Dirichlet problems, Ann. Polon. Math. 88 (2006), 127-139.
- [5] J. Mawhin, Probl?mes de Dirichlet Variationnels non Linéaires, Les Presses de l’Université de Montréal, Montréal, 1987.
- [6] A. Nowakowski, A. Rogowski, On the new variational principles and duality for periodic solutions of Lagrange equations with superlinear nonlinearities, J. Math. Anal. Appl. 264 (2001), 168-181.
- [7] R. T. Rockafellar, Convex integral functionals and duality, Contributions to Nonlinear Functional Analysis, E. Zarantonello (ed.), Academic Press, New York, 1971, 215-236.
- [8] G. Verzini, Bounded solutions to superlinear ODEs: a variational approach, Nonlinearity 16 (2003), 2013-2028.
- [9] Q. Yao, Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem, Nonlinear Anal. 63 (2005), 237-246.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0051-0007