Existence results for a class of second order evolution inclusions and its corresponding first order evolution inclusions

被引：0
|
作者：
Xiaoyou Liu
Zhenhai Liu
机构：
[1] Guangxi University for Nationalities Nanning,School of Science
[2] Central South University Changsha,School of Mathematical Science and Computing Technology
来源：
Israel Journal of Mathematics | 2013年 / 194卷
关键词：
Banach Space; Maximal Monotone Operator; Hemivariational Inequality; Evolution Inclusion; Banach Space Versus;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We deal with an abstract second order nonlinear evolution inclusion with its principal part having a small parameter ɛ. We prove the existence of a weak solution when the nonlinearity F is convex as well as nonconvex valued. Then we study the asymptotic behavior of a sequence of solutions {uɛ} when ɛ → 0. We prove that there exists a limit function u, and u is a solution of the corresponding first order evolution inclusion.
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页码：723 / 743
页数：20
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