Bifurcation points and asymptotic bifurcation points of nonlinear operators in M-PN spaces

被引：4

作者：

Li, Qiuying ^{[1
]}

Zhu, Chuanxi ^{[1
]}

Wang, Sanhua ^{[1
]}

机构：

[1] Nanchang Univ, Sch Sci, Nanchang 330031, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 10期

基金：

中国国家自然科学基金;

关键词：

M-PN space; Bifurcation point; Asymptotic bifurcation point; Intrinsic value; Topological degree;

D O I：

10.1016/j.na.2009.03.068

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, the new concepts of bifurcation points and asymptotic bifurcation points of the compact continuous operator T are introduced in M-PN spaces. Some sufficient conditions for the existence of bifurcation points and asymptotic bifurcation points are obtained, and some theorems on the existence of intrinsic values are obtained. Meanwhile some theorems are generalized. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：4960 / 4966

页数：7

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