Nontrivial solutions for nonlinear system involving non-compact resolvent operators

Samira Lecheheb, Hakim Lakhal, Messaoud Maouni
Published 2022-11-14
DOI 10.28919/jmcs/7617

Abstract

This article establishes the existence of distributional solutions to a nonlinear system involving non-compact resolvent. By means of the Leray-Schauder degree theory, with suitable assumptions on the nonlinearities, the authors prove the existence of distributional solutions.
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How to Cite this Article

Samira Lecheheb, Hakim Lakhal, Messaoud Maouni, Nontrivial solutions for nonlinear system involving non-compact resolvent operators, J. Math. Comput. Sci., 12 (2022), Article ID 204. https://doi.org/10.28919/jmcs/7617

Copyright © 2022 Samira Lecheheb, Hakim Lakhal, Messaoud Maouni. 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.