ArticleOriginal scientific text
Title
Problèmes aux limites pour des inclusions différentielles sans condition de croissance
Authors 1
Affiliations
- Département de Mathématiques et Statistique, Université de Montréal, C. P. 6128, succ. A, Montréal, Canada, H3C 3J7
Abstract
Abstract. Applying the topological transversality method of Granas and the a priori bounds technique, we prove some existence theorems for diflerential inclusions of the form x" ∈ F(t, x, x'), x ∈ ℬ, where F is a Carathéodory multifunction with convex, compact values. No growth condition will be imposed on F.
Bibliography
- J. J. Benedetto, Real Variable and Integration, Teubner, Stuttgart 1976.
- C. Berge, Espaces topologiques, Fonctions multivoques, Dunod, Paris 1959.
- J. Dugundji and A. Granas, Fixed Point Theory, Vol. 1, Monografie Matematyczne 61', PWN, Warszawa 1982.
- L. H. Erbe and W. Krawcewicz, Nonlinear boundary value problems for differential inclusions y" e F(x, y, y'), Ann. Polon. Math, (to appear).
- M. Frigon, Application de la théorie de la transversalité topologique à des problèmes non linéaires pour des équations différentielles ordinaires, Dissertationes Math. 296 (1990), 79 pp.
- M. Frigon, Théorie de la transversalité topologique appliquée à des problèmes aux limites sans condition de croissance. Rapport CRM-1632, Université de Montréal, Septembre 1969.
- A. Granas, R. B. Guenther and J. W. Lee, Some existence results for the differential inclusions
- Some general existence principles In the Carathéodory theory of nonlinear differential systems, J. Math. Pures Appl. (to appear).
- C. J. Himmelberg, Measurable relations, Fund. Math. 87 (1975), 53-72.
- T. Pruszko, Topological degree methods in multi-valued boundary value problems, Nonlinear Anal. 5 (1981), 959-973.
- T. Pruszko, Some applications of the topological degree theory to multi-valued boundary value problems, Dissertationes Math. 229 (1984), 52 pp.
Pages:
69-83
Main language of publication
French
Received
1990-05-03
Published
1991
Exact and natural sciences