Volterra差分方程的概周期解的存在和稳定性

Stability properties and existence of almost periodic solutions of Volterra difference equations

在Volterra的研究工作当中,许多工作者都已经研究过具有时滞性差分系统的该周期性的存在。对于具有无界时滞的非线性Volterra差分方程,通过有界解的完全稳定性刻划了解非线性Volterra差分方程概周期和渐近概周期性的存在。

For nonlinear Volterra difference equations with unbounded delay,the existence of almost periodic and asymptotically almost periodic solution is characterized using total stability properties of a bounded solution.