Existence of solutions for quasilinear second order differential inclusions with nonlinear boundary conditions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:113

Article

Halidias, N ; Papageorgiou, NS

关键词: multifunction;    caratheodory function;    approximate selector;    maximal monotone operator;    surjective operator;    sobolev space;    compact embedding;    Leray-Schauder fixed point theorem;   

DOI  :  10.1016/S0377-0427(99)00243-5

来源: Elsevier

【 摘 要 】

In this paper we consider a quasilinear second-order differential inclusion with a convex-valued multivalued term and nonlinear, multivalued boundary conditions. Using the Leray-Schauder fixed-point theorem and techniques from multivalued analysis and from nonlinear analysis, we prove the existence of a solution. Our formulation of the problem is general and includes as special cases the Dirichlet, the Neumann, the periodic problems, as well as certain Sturm-Liouville-type problems. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 34B15.

【 授权许可】

Free