一类具有多个时滞变量n阶非线性微分方程的反周期解的存在唯一性(英文)

Anti-periodic Solutions for a Kind of Nonlinear Nth-order Differential Equation with Multiple Deviating Arguments

通过应用Leray-Schauder度定理研究了一类具有多个时滞变量微分方程:x(n)(t)+f(t,x(n-1)(t))+sum gi from i=1 to m(t,x(t-τi(t)))=e(t)的反周期解问题,得到了反周期解存在与唯一的新的结果.

In this paper, we use the Leray-Schauder degree theory to establish some new results on the existence and uniqueness of anti-periodic solutions for a kind of nonlinear nth-order differential equation with multiple deviating arguments of the form：