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1997 A new spectral theory for nonlinear operators and its applications
W. Feng
Abstr. Appl. Anal. 2(1-2): 163-183 (1997). DOI: 10.1155/S1085337597000328


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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W. Feng. "A new spectral theory for nonlinear operators and its applications." Abstr. Appl. Anal. 2 (1-2) 163 - 183, 1997.


Published: 1997
First available in Project Euclid: 7 April 2003

zbMATH: 0952.47047
MathSciNet: MR1604177
Digital Object Identifier: 10.1155/S1085337597000328

Primary: 47H12

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

Rights: Copyright © 1997 Hindawi

Vol.2 • No. 1-2 • 1997
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