广西科学2011，Vol.18Issue(1)：22-25,4.
一类具有两个偏差变元的高阶微分方程反周期解的存在唯一性
Existence and Uniqueness of Anti-Periodic Solutions for a Class of High-order Differential Equation with Two Deviating Arguments
沈柳平 1姚晓洁 1杨继昌1
作者信息
- 1. 柳州师范高等专科学校数学与计算机科学系,广西柳州,545004
- 折叠
摘要
Abstract
Some sufficient conditions of the existence and uniqueness of anti-periodic solutions for a class of high-order differential equation with two deviating arguments as follows x（n） (t) + f(t,x1 (t) ,x″(t) , … ,x(n-1) (t) ) + g1 (t,x(t - τ1 (t) ) ) + g2 (t ,x(t - τ2 (t) ) ) = e(t) is obtained by employing Leray-Schauder degree theorem.关键词
高阶微分方程/偏差变元/反周期解/Leray-Schauder度Key words
high-order differential equation, deviating argument,anti-periodic solutions, LeraySchauder degree分类
数理科学引用本文复制引用
沈柳平,姚晓洁,杨继昌..一类具有两个偏差变元的高阶微分方程反周期解的存在唯一性[J].广西科学,2011,18(1):22-25,4.
