Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4621769 | Journal of Mathematical Analysis and Applications | 2008 | 11 Pages |
Abstract
Let X be a real Banach space, A:D(A)⊆X↝X an m -accretive operator and F:R×D(A)¯↝X a multi-function which is 2π-periodic with respect to its first argument, has nonempty, closed, convex and weakly compact values and is strongly–weakly upper semicontinuous. In this paper we prove the existence of at least one solution for the problem{u′(t)+Au(t)∋f(t),f(t)∈F(t,u(t)),u(t)=u(t+2π), in the case in which F satisfies an appropriate “sign” condition.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Angela Paicu,