Boundedness criteria for a class of second order nonlinear differential equations with delay

Abstract

. We consider certain class of second order nonlinear nonautonomous delay differential equations of the form where a , b , c , g , h , m and p are real valued functions which depend at most on the arguments displayed explicitly and r is a positive constant. Different forms of the integral inequality method were used to investigate the boundedness of all solutions and their derivatives. Here, we do not require construction of the Lyapunov-Krasovskiˇı functional to establish our results. This work extends and improve on some results in the literature.