SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH DELAY TERMS

Title & Authors
SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH DELAY TERMS
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 H$\small{\ddot{o}}$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;
Language
English
Cited by
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