A new spectral theory for nonlinear operators and its applications

Feng, W.

doi:https://doi.org/10.1155/S1085337597000328

Abstract and Applied Analysis

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Volume 2 |Article ID 785352 | https://doi.org/10.1155/S1085337597000328

W. Feng, "A new spectral theory for nonlinear operators and its applications", Abstract and Applied Analysis, vol. 2, Article ID 785352, 21 pages, 1997. https://doi.org/10.1155/S1085337597000328

A new spectral theory for nonlinear operators and its applications

W. Feng¹

¹Department of Mathematics, University of South Florida, USA

Received01 Sep 1997

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.

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Copyright © 1997 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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