含有集压缩映射的非线性变分不等方程的分歧定理  

A Bifurcation Theorem of a Nonlinear Variational Inequality Equation with Set Contraction Maps

作　　者：赵胜芝[1] 

机构地区：[1]辽宁大学数学系,辽宁沈阳110036

出　　处：《辽宁大学学报（自然科学版）》2001年第2期97-100,共4页Journal of Liaoning University：Natural Sciences Edition

摘　　要：P .Quittner[1 ] 讨论了变分不等方程的特征值及分歧点 .其中非线性部分限制为紧的 .本文讨论非线性部分为某种集压缩情形 。P.Quittner [1] investigated the eigenvalues and the bifurcation points of a nonlinear variational inequality with compact nonlinear parts. In this paper, however, the compactness is generalized as the set contraction. Correspondingly, a bifurcation theorem is shown.

关 键 词：分歧点 凝聚映射 集压缩映射 非线性变分不等方程 分歧定理 HILBER空间 

分 类 号：O177.91[理学—数学]