ANALYSIS OF SOMENEUTRAL DELAY DIFFERENTIAL EQUATIONS

Abstract

 The paper is devoted to the study of the neutral differential equation with delay x'(t)=f(t,x(t),x(q(t)),x'(q(t))). Our analysis is concerned with the existence, uniqueness and monotone iterative approximation of the nondecreasing global solutions of the initial-value problem. We use fixed point theorems (Schauder, Krasnoselskii, Leray-Schauder) and monotone iterative techniques.