Existence of asymptotic solutions of second order neutral
differential equation with multiple delays
S. C. Palaniswami1
Received01 May 1994
Revised01 Sept 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.