Existence Results for Boundary Value Problems of Differential Inclusions with Three-Point Integral Boundary Conditions

Existence Results for Boundary Value Problems of Differential Inclusions with Three-Point Integral Boundary Conditions

We discuss the existence of solutions for a boundary value problem of second-order differential inclusions with three-point integral boundary conditions involving convex and nonconvex multivalued maps. Our results are based on the nonlinear alternative of Leray-Schauder type and some suitable theore...

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Veröffentlicht in:ISRN mathematical analysis 2011-01, Vol.2011 (2011), p.1-13
Hauptverfasser: Ahmad, Bashir, Ntouyas, Sotiris. K., Alsaedi, Ahmed
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Banach spaces
Boundary conditions
Boundary value problems
Control theory
Mathematical models
Studies
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Zusammenfassung:We discuss the existence of solutions for a boundary value problem of second-order differential inclusions with three-point integral boundary conditions involving convex and nonconvex multivalued maps. Our results are based on the nonlinear alternative of Leray-Schauder type and some suitable theorems of fixed point theory.
ISSN:2090-4657
2090-4665
DOI:10.5402/2011/831972