Existence of asymptotic solutions of second order neutraldifferential equation with multiple delays

[摘要] 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.

[学科分类] 应用数学