[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2013.50.3.627

SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH DELAY TERMS

Jeong, Jin-Mun (Department of Applied Mathematics Pukyong National University)
Cheon, Su Jin (Department of Mathematics Pukyong National University)

Publication Information

Journal of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 627-639 More about this Journal

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 H $\ddot{o}$ lder 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;

Citations & Related Records

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