Existence Theorems for Nonlinear Boundary Value Problems for Second Order Differential Inclusions

Existence Theorems for Nonlinear Boundary Value Problems for Second Order Differential Inclusions

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...

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Veröffentlicht in:Journal of Differential Equations 1996-11, Vol.132 (1), p.107-125
Hauptverfasser: Kandilakis, Dimitrios A., Papageorgiou, Nikolaos S.
Format: Artikel
Sprache:eng
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Zusammenfassung: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 incorporate as special cases several classes of problems which are of interest in the literature.
ISSN:0022-0396
1090-2732
DOI:10.1006/jdeq.1996.0173