Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications

被引：9

作者：

Cui, Yujun ^{[1
]}

Sun, Jingxian ^{[2
]}

机构：

[1] Shandong Univ Sci & Technol, Dept Math, Qingdao 266510, Peoples R China

[2] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Peoples R China

来源：

POSITIVITY | 2011年 / 15卷 / 03期

基金：

美国国家科学基金会;

关键词：

Topological and variational method; Fixed point theorem; Dynamic equation;

D O I：

10.1007/s11117-010-0095-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the existence of fixed point for a class of nonlinear operators by a combination of topological and variational method. The theoretical results are applied to second order dynamic equation with homogeneous Dirichlet boundary conditions.

引用

页码：455 / 464

页数：10

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