A global positive solution of a delay differential equation with indefinite coefficients

Abstract

In this note, we show the existence of a global positive solution for a class of first-order delay differential equations: x′(t)+a1(t)x(t)+a2(t)x(t−h(t))=0.x′(t)+a1(t)x(t)+a2(t)x(t−h(t))=0. Turn MathJax on In this study, we allow a1a1 and a2a2 to be of oscillating nature.