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Nonlinear boundary value problems for second order differential inclusions

โœ Scribed by Qinghua Zhang; Gang Li

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
988 KB
Volume
70
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

In this paper, we study a class of nonlinear value boundary problems for second order differential inclusions with nonlinear perturbations, which satisfy the generalized Hartman condition weaker than that considered in some papers. Using techniques from multivalued analysis, theory of monotone operators and fixed points, we prove the existence of solutions in both ''convex'' and ''nonconvex'' cases. Our framework can be incorporated with Dirichlet, Neumann, and mixed boundary problems.

๐Ÿ“œ SIMILAR VOLUMES

Existence Theorems for Nonlinear Boundar
Existence Theorems for Nonlinear Boundary Value Problems for Second Order Differential Inclusions
โœ Dimitrios A. Kandilakis; Nikolaos S. Papageorgiou ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 586 KB

In this paper we consider a nonlinear two-point boundary value problem for second order differential inclusions. Using the Leray Schauder principle and its multivalued analog due to Dugundji Granas, we prove existence theorems for convex and nonconvex problems. Our results are quite general and inco