Journal of Applied Mathematics and Stochastic Analysis
Volume 8 (1995), Issue 1, Pages 77-83
doi:10.1155/S1048953395000074

Existence of asymptotic solutions of second order neutral differential equation with multiple delays

S. C. Palaniswami

Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India

Received 1 May 1994; Revised 1 September 1994

Copyright © 1995 S. C. Palaniswami. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The existence of positive solutions of second order neutral differential equation of the form [x(t)−cx(t−h)]′​′+∑i=1mpi(t)x[gi(t)]=0, t≥t0,                                          (A) is investigated. Some sufficient conditions are given for the existence of positive solutions with asymptotic decay of (A). Examples are presented to illustrate the results.