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

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.