一类时滞Duffing微分方程同宿解的存在性(英文)

Existence of homoclinic solutions for Duffing type differential equation with deviating argument

利用重合度理论和一些分析技巧,得到一类二阶时滞Dumng微分方程的2kT周期解,通过对该微分方程的一系列周期解取极限获得同宿解的存在性.同时,β(t)是可变号的.

By using the continuation theorem of the coincidence degree theory and some analysis methods, the existence of a set with 2kT-periodic solutions for a class of duffing type differential equation with delay is studied, and then a homoclinic solution is obtained as a limit of a certain subsequence of the above set. Meanwhile, β（t） is allowed to change sign.