Z-P-S空间中非线性算子方程解的存在性

J4 ›› 2011, Vol. 49 ›› Issue (02): 247-250.

Z-P-S空间中非线性算子方程解的存在性

王培培, 朱传喜

南昌大学数学系, 南昌 330031

收稿日期:2010-04-01 出版日期:2011-03-26 发布日期:2011-06-14
通讯作者: 朱传喜 E-mail:chuanxizhu@126.com

Existence for Solution of Nonlinear Operator EquationProblems in Z-P-S Space

WANG Peipei, ZHU Chuanxi

Department of Mathematics, Nanchang University, Nanchang 330031, China

Received:2010-04-01 Online:2011-03-26 Published:2011-06-14
Contact: ZHU Chuanxi E-mail:chuanxizhu@126.com

摘要/Abstract

摘要：

在Z-P-S空间中, 利用拓扑度方法研究非线性算子方程Tx=μx(其中μ≥1)和Tx=μx+p(其中μ≥1)解的存在性, 得到了一些新的定理和推论.

关键词: 紧连续算子, Z-P-S空间, 拓扑度, 同伦不变性

Abstract:

The solution of nonlinear operator equation Tx=μx+p(μ≥1) and Tx=μx(μ≥1) in the Z-P-S space was studied via topological degree method and some theorems and deductions were obtained. Meanwhile some important conclusions were improved and generalized.

Key words: compact continuous operator, Z-P-S space, topological degree, homotopy invariance

中图分类号:

O211.3

王培培, 朱传喜. Z-P-S空间中非线性算子方程解的存在性[J]. J4, 2011, 49(02): 247-250.

WANG Pei-Pei, SHU Chuan-Chi. Existence for Solution of Nonlinear Operator EquationProblems in Z-P-S Space[J]. J4, 2011, 49(02): 247-250.

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