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Multivalued differential equations and control problems*.
| Content Provider | CiteSeerX |
|---|---|
| Author | Anichini, G. Zecca, P. |
| Abstract | ABSTRACT. We consider a first order boundary value problem in a Banach space which involves a lower-semicontinuous, non-convex multivalued function. A continuous selection theorem and fixed point arguments are used to show the existence of solutions for this problem. Introduction. Let X be a Banach space, J a compact subset of R. Denote by C(J,X) the vector space of all continuous mappings of J into the Banach space X. Let B C X and let F be a 1ower-semicontinuous multivalued function mapping J X B into the family of nonempty, compact, non-necessarily convex sets of X. In this paper we consider the boundary value problem for multivalued |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Banach Space Multivalued Differential Equation Control Problem Point Argument Vector Space First Order Boundary Value Problem Non-necessarily Convex Set Continuous Mapping Compact Subset Boundary Value Problem Continuous Selection Theorem 1ower-semicontinuous Multivalued Function |
| Content Type | Text |
| Resource Type | Article |
