A CLASS OF MAPS RELATED TO THE SEMILINEAR SPECTRUM AND APPLICATIONS

TitleA CLASS OF MAPS RELATED TO THE SEMILINEAR SPECTRUM AND APPLICATIONS
Publication TypeJournal Article
Year of Publication2011
AuthorsFENG, WENYING
Secondary TitleCommunications in Applied Analysis
Volume15
Start Page372
Pagination380
Date Published08/2011
Type of Workscientific: mathematics
ISSN1083–2564
AMS39B22., 47H09, 47H10
Abstract
In this paper, the notion of (a, q)-L-stably solvable maps, where L is a closed Fredholm operator of index zero, is introduced. Closely related to the spectrum of semilinear operators, the class of (a, q)-L-stably solvable maps generalizes both (a, q)-stably solvable and the L-stably solvable maps that were defined previously. We prove properties for the new class of operators including the continuation principle and discuss eigenvalues. We also show its applications in the study of solvability of a nonlinear system.
URLhttp://www.acadsol.eu/en/articles/15/3/9.pdf
Short TitleSEMILINEAR SPECTRUM AND APPLICATION
Refereed DesignationRefereed
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