Periodic solutions for a class of differential inclusions in general Banach spaces
Periodic solutions for a class of differential inclusions in general Banach spaces
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DOI：
10.1016/j.jmaa.2007.04.053
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发表时间：
2008-01
影响因子：
1.3
通讯作者：
Angela Paicu
中科院分区：
文献类型：
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作者：
Angela Paicu
设X是真实的Banach空间，A：D（A）<$X <$X是m-增生算子，F：R×D（A）<$X是关于第一个变元为2π-周期的集值函数，具有非空、闭、凸、弱紧的值，且是强-弱上连续的.本文证明了当F满足适当的“符号”条件时，该问题至少存在一个解。
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 in the case in which F satisfies an appropriate “sign” condition.