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| Volume 7, Number 2, August 2006, pp. 163-177 | |||||||||
| Sergiu Aizicovici, Nikolaos S. Papageorgiou and Vasile Staicu | |||||||||
| Key words: | |||||||||
| evolution inclusion, integral solution, periodic problem, m-accretive operator, multivalued map, continuous selection | |||||||||
| Mathematices Subject Classification: 34C25, 34G20, 34G25, 47H06 | |||||||||
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| Abstract: | ||||||
| In this paper we study the existence of integral solutions to abstract periodic problems of the form | ||||||
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| where A is an m-accretive operator in a reflexive Banach space X and F:T ×X → 2X is a multivalued map (perturbation). We prove three existence results: one when the multivalued nonlinearity F(t,x) is convex-valued, the other for the case when F(t,x) is nonconvex valued, and finally an existence result for the case when F(t,x) is replaced by extF(t,x), the set of extreme points of F(t,x) | ||||||
| Periodic solutions of nonlinear evolution inclusions in Banach spaces | ||