| 一类具偏差变元的2阶微分方程周期解问题 |
| |
| 引用本文： | 汪小明,谢新华. 一类具偏差变元的2阶微分方程周期解问题[J]. 江西师范大学学报(自然科学版), 2012, 36(2): 168-170 |
| |
| 作者姓名： | 汪小明 谢新华 |
| |
| 作者单位： | 上饶师范学院数学与计算机科学学院,江西上饶,334001 |
| |
| 基金项目： | 国家级特色专业数学与应用数学(教高函[2010]15);江西省青年自然科学基金(2009GQS0023);江西省教育厅青年科学基金(GJJ11234);上饶师范学院自然科学基金(1001)资助项目 |
| |
| 摘 要： | 利用重合度理论研究了一类2阶具偏差变元的泛函微分方程ax′′+f(t,x′(t-τ1(t)))+h(t,x′(t-τ2(t)))x(t)+β(t)g(t,x(t-τ3(t)))=p(t)的周期解,得到了周期解存在性的若干结论,推广了已有的结论.
|
| 关 键 词： | 周期解 偏差变元 重合度 |
The Periodic Solution for a Kind of Second Order Differential Equations with Deviating Arguments |
| |
| WANG Xiao-ming , XIE Xin-hua. The Periodic Solution for a Kind of Second Order Differential Equations with Deviating Arguments[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2012, 36(2): 168-170 |
| |
| Authors: | WANG Xiao-ming XIE Xin-hua |
| |
| Affiliation: | (School of Mathematics and Computer Science,Shangrao Normal University,Shangrao Jiangxi 334001,China) |
| |
| Abstract: | By employing the coincidence degree theory,a kind of second order functional differential equations with deviating arguments such as ax′ ′ + f(t,x′(t-1τ(t))) + h(t,x′(t-τ2(t))) x(t) + β(t) g(t,x(t-τ3(t))) = p(t) is studied.Some results on the existence of periodic solution are obtained,which generalizes the known results. |
| |
| Keywords: | periodic solution deviating argument coincidence degree |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
