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- Title
DIAGONALIZATION METHOD AND SEMILINEAR DIFFERENTIAL EQUATIONS ON THE HALF LINE.
- Authors
Meslem, Sadia; Abbas, Saïd; Arara, Amaria; Benchohra, Mouffak
- Abstract
This paper deals with some existence of bounded solutions for two classes of semlinear differential equations. We consider the cases when the linear part of the equation generates a C0 semigroup as well as an integrated semigroup. An application is made of a Darbo fixed point theorem associated with the diagonalization method and the concept of measure of noncompactness. The present results initiate the application of such method to semilinar differential equations on the half line.
- Subjects
DIFFERENTIAL equations; LINEAR equations
- Publication
Palestine Journal of Mathematics, 2022, Vol 11, Issue 1, p560
- ISSN
2219-5688
- Publication type
Article