Existence and Uniqueness of Anti-Periodic Solutions for a Class of High-order Differential Equation with Two Deviating Arguments
Author(s): SHEN Liu-ping, YAO Xiao-jie, YANG Ji-chang
Pages: 22-25
Year: 2011 Issue: 1
Journal: Guangxi Sciences
Keyword: 高阶微分方程; 偏差变元; 反周期解; Leray-Schauder度;
Abstract: 利用Leray-Schauder度理论,获得一类具有两个偏差变元的高阶微分方程x(n)(t)+f(t,x\'(t),x\'\'(t),…,x(n-1)(t))+g1(t,x(t-r1(t)))+g2(t,x(t-r2(t)))=e(t)反周期解存在唯一性的充分条件.
Pages: 22-25
Year: 2011 Issue: 1
Journal: Guangxi Sciences
Keyword: 高阶微分方程; 偏差变元; 反周期解; Leray-Schauder度;
Abstract: 利用Leray-Schauder度理论,获得一类具有两个偏差变元的高阶微分方程x(n)(t)+f(t,x\'(t),x\'\'(t),…,x(n-1)(t))+g1(t,x(t-r1(t)))+g2(t,x(t-r2(t)))=e(t)反周期解存在唯一性的充分条件.
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