| 一类高阶非线性微分方程周期解的存在性 |
| |
| 引用本文： | 陈仕洲.一类高阶非线性微分方程周期解的存在性[J].韩山师范学院学报,2014(3):1-7,29. |
| |
| 作者姓名： | 陈仕洲 |
| |
| 作者单位： | 韩山师范学院数学与统计学系,广东潮州,521041 |
| |
| 基金项目： | 韩山师范学院理科团队项目（项目编号：LT201202）. |
| |
| 摘 要： | 运用Mawhin连续性定理,研究一类高阶非线性微分方程(φp(x(t)-cx(t-r)(m)(m))+∑i=1mfi(x)(i-1)(t x(i)(t)+g(t,x(t))=e(t),获得了其周期解存在性新的充分条件.
|
| 关 键 词： | 非线性微分方程 周期解 高阶 重合度理论 |
Existence of Periodic Solutions for a Kind of High-order Nonlinear Differential Equation |
| |
| CHEN Shi-zhou.Existence of Periodic Solutions for a Kind of High-order Nonlinear Differential Equation[J].Journal of Hanshan Teachers College,2014(3):1-7,29. |
| |
| Authors: | CHEN Shi-zhou |
| |
| Institution: | CHEN Shi-zhou (Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong, 521041 ) |
| |
| Abstract: | By applying Mawhin’s continuation theorem of coincidence degree theory, we study a kind of high-order nonlinear differential equation：（φp（x（t）-cx（t-r）^（m）））^（m）＋∑i=1 m fi（x^（i-1）（t）） x^（i）（t）＋g（t,x（t））=e（t） . Some new sufficient conditions for the existence of periodic solutions are obtained. |
| |
| Keywords: | nonlinear differential equation periodic solution higher order coincidence degree theory |
| 本文献已被 CNKI 维普 等数据库收录！ |
