二阶中立型逐段常变量微分方程的伪ω周期解

Pseudo-ω-periodic solutions of second-order neutraldifferential equations with piecewise constant argument

给出了二阶中立型逐段常变量微分方程d2/dt2(x(t)+p(t)x(t-1))=qx(2[t+1/2]+g(t,x(t),x([t]))d2/dt2(x(t)+p(t)x(t-1))=qx(2[t+1/2]+f(t)的伪ω周期解存在唯一性的充分条件.

Abstract： In this paper, we consider the following second-order neutral differential equations with piecewise constant ar-gument of the form d2/dt2（x（t）＋p（t）x（t-1））=qx（2[t＋1/2]＋g（t,x（t）,x（[t]））d2/dt2（x（t）＋p（t）x（t-1））=qx（2[t＋1/2]＋f（t）and obtained the sufficient condition for the existence of pseudo-ω-periodic solutions .