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Nonlinear boundary value problems for second order differential inclusions
Authors:Qinghua Zhang  Gang Li
Affiliation:School of Mathematical Science, Yangzhou University, Yangzhou 225002, PR China
Abstract: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.
Keywords:34K30   47D60   49K25
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