A global description of solutions to nonlinear perturbations of the Wiener-Hopf integral equations

Date

2006-04-18

Authors

Milojevic, Petronije S.

Journal Title

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Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

We establish the solvability, the number of solutions and the covering dimension of the solution set of nonlinear Wiener-Hopf equations. The induced linear mapping is assumed to be of nonnegative index, while the nonlinearities are such that projection like methods are applicable. Solvability of nonlinear integral equations on the real line has been also discussed.

Description

Keywords

Number of solutions, Covering dimension, Wiener-Hopf equations, Nonlinear, (pseudo) A-proper maps, Surjectivity

Citation

Milojevic, P. S. (2006). A global description of solutions to nonlinear perturbations of the Wiener-Hopf integral equations. <i>Electronic Journal of Differential Equations, 2006</i>(51), pp. 1-14.

Rights

Attribution 4.0 International

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