| 一类特殊的泛函方程零解的一致稳定性 |
| |
| 引用本文： | 江磊. 一类特殊的泛函方程零解的一致稳定性[J]. 成都纺织高等专科学校学报, 2011, 28(3): 47-49 |
| |
| 作者姓名： | 江磊 |
| |
| 作者单位： | 成都纺织高等专科学校基础部,成都,611731 |
| |
| 基金项目： | 成都纺织高等专科学校自然科学基金 |
| |
| 摘 要： | 研究了一类特殊的一阶泛函方程x’（t）=a（t）x（t）＋b（t）x（t-m1）＋c（t）x（t-m2）零解的稳定性问题，结合Lyapunov稳定性的知识，通过构造适当的泛函，对泛函系统的解建立一些合适的不等式，从而获得系统的零解一致稳定满足的条件。
|
| 关 键 词： | 泛函微分方程 一致稳定性 零解 Lyapunov函数 |
Stability of Zero Solution of a Special Functional Equation |
| |
| JIANG Lei. Stability of Zero Solution of a Special Functional Equation[J]. Journal of Chengdu Textile College, 2011, 28(3): 47-49 |
| |
| Authors: | JIANG Lei |
| |
| Affiliation: | JIANG Lei(Fundamental Education Department,Chengdu Textile College,Chengdu 611731) |
| |
| Abstract: | The stability problem of zero solution of a special class of one order functional equation were studied: x’(t)=a(t)x(t)+b(t)x(t-m1)+c(t)x(t-m2),combined with stability of Lyapunov function and constructed proper functional equations,some proper inequalities for solutions of functional equation system were established in order to get the stability conditions of zero solutions of system. |
| |
| Keywords: | functional differential equation stability zero solution Lyapunov function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
