期刊论文

中文

应用数学

1001-9847

2010

23

3

653-659

Supported by the Scientific Research Fund of H unan Provincial Education Department （09A080） ,the Scientific Research Founds for ＂New Century Engineering of ‘121’ Talents in Hunan Province＂ and for the Returned Overseas Chinese Scholars in University of South China.

本校为第一机构

本文利用扰动法、Fredholm理论及经典的不动点定理，研究了时滞偏微分方程行波解的存在性．我们的结果表明，对于没有时滞时任意有意义的波速，在小时滞扰动下行波解具有持久性．

In this paper we investigate the existence of traveling fronts for a partial differential equation with time delay by applying perturbation method,Fredholm theory and fixed-point theorem. We show that for any wave speed in the nondelay problem, the traveling front p...