Abstract and Applied Analysis
Volume 2 (1997), Issue 1-2, Pages 163-183
A new spectral theory for nonlinear operators and its applications
Department of Mathematics, University of South Florida, Tampa 33620-5700, FL, USA
Received 1 September 1997
Copyright © 1997 W. Feng. 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.
In this paper, by applying -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.