SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH DELAY TERMS

- Journal title : Journal of the Korean Mathematical Society
- Volume 50, Issue 3, 2013, pp.627-639
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2013.50.3.627

Title & Authors

SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH DELAY TERMS

Jeong, Jin-Mun; Cheon, Su Jin;

Jeong, Jin-Mun; Cheon, Su Jin;

Abstract

The goal of this paper is to obtain the regularity and the existence of solutions of a retarded semilinear differential equation with nonlocal condition by applying Schauder's fixed point theorem. We construct the fundamental solution, establish the Hlder continuity results concerning the fundamental solution of its corresponding retarded linear equation, and prove the uniqueness of solutions of the given equation.

Keywords

asemilinear differential equation;nonlocal condition;delay term;fundamental solution;regularity for solutions;

Language

English

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