Nonlinear second order differential inclusions with a series of convex functions

被引：2

作者：

Zhang, Qinghua ^{[1
]}

机构：

[1] Nantong Univ, Sch Sci, Nantong 226019, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Sobolev space; Lower semicontinuous; Convex and proper functional; Subdifferential; Upper semicontinuous map; Completely continuous operator; Fixed point; Maximal monotone map; Yosida approximation; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.1016/j.na.2010.01.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of second order differential inclusions attached to which the convex potential varies depending on the time, and the boundary conditions are described by the subdifferentials of convex functions. Applying the theory of lower semicontinuous, convex and proper functionals, and fixed points, we give some results about the representation of the subdifferential operators of some convex functionals and the existence of solutions for the boundary value problems. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：4053 / 4062

页数：10

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