| 非线性无穷时滞微分系统的稳定性 |
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| 引用本文： | 斯力更,马万彪.非线性无穷时滞微分系统的稳定性[J].数学学报,1995,38(3):412-417. |
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| 作者姓名： | 斯力更 马万彪 |
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| 作者单位： | 内蒙古师范大学数学系 |
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| 基金项目： | 国家和内蒙古自然科学基金 |
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| 摘 要： | 本文主要内容是：（１）在局部条件下，建立了一类具有无穷时滞的非线性的正、反向积分微分不等式；（２）结合常数变易法和Ｌｉａｐｕｎｏｖ函数法（不必寻找Ｐ－函数），利用所建立的不等式研究了非线性无穷时滞微分系统的稳定性；（３）举例说明了本文定理的应用和优点。
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| 关 键 词： | 无穷时滞 不等式 稳定性 |
| 收稿时间： | 1991-1-7 |
| 修稿时间： | 1994-5-12 |
Stability for Nonlinear Differential Systems with Infinite Delay |
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| Si Ligeng,Ma Wanbiao.Stability for Nonlinear Differential Systems with Infinite Delay[J].Acta Mathematica Sinica,1995,38(3):412-417. |
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| Authors: | Si Ligeng Ma Wanbiao |
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| Institution: | Si Ligeng;Ma Wanbiao(Dept.of Math.,Inner Mongolia Normal Univ., Huhhot 010022,China) |
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| Abstract: | The main purpose of this paper is as follows:(1)to establish some nonlinear integro-differential inequalities with infinite delay and theinverse inequalities under the local conditions;(2)to study the stability of the nonlinear differen-tial systems with infinite delay by using the method of variation of constants, Liapunov function(need not find P-function)and the inequalities established;(3)to give some examples to showthe application and advantage of the theorems in the paper. |
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| Keywords: | infinite delay inequality stability |
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