Abstract and Applied Analysis

A new spectral theory for nonlinear operators and its applications

W. Feng

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Abstract

In this paper, by applying (p,k)-epi mapping theory, we introduce a new definition of spectrum for nonlinear operators which contains all eigenvalues, as in the linear case. Properties of this spectrum are given and comparison is made with the other definitions of spectra. We also give applications of the new theory.

Article information

Source
Abstr. Appl. Anal., Volume 2, Number 1-2 (1997), 163-183.

Dates
First available in Project Euclid: 7 April 2003

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1049737248

Digital Object Identifier
doi:10.1155/S1085337597000328

Mathematical Reviews number (MathSciNet)
MR1604177

Zentralblatt MATH identifier
0952.47047

Subjects
Primary: 47H12

Keywords
Spectrum of a nonlinear operator eigenvalues $(p,k)-\mathrm{epi}$-epi mapping theory

Citation

Feng, W. A new spectral theory for nonlinear operators and its applications. Abstr. Appl. Anal. 2 (1997), no. 1-2, 163--183. doi:10.1155/S1085337597000328. https://projecteuclid.org/euclid.aaa/1049737248


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