| THE EXISTENCE, UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTION FOR A CLASS OF NONLINEAR SYSTEM |
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| 作者姓名： | 方聪娜 王全义 |
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| 作者单位： | Basic Courses Dept. Jimei University，Xiamen 361021，Dept. of Math. Huaqiao University，Quanzhou 362011 |
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| 基金项目： | ProjectsupportedbytheScientificResearchFoundationoftheOverseasChineseAffairsOfficeoftheStateCouncil(01QZR02). |
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| 摘 要： | In this paper, we study the problems on the existence, uniqueness and stability of almost periodic solution for a class of nonlinear system. Using fixed point theorem and Lyapunov functional, the sufficient conditions are given which guarantee the existence, uniqueness and stability of almost periodic solution for the system.
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| 关 键 词： | 殆周期解 存在性 唯一性 稳定性 非线性函数 |
THE EXISTENCE, UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTION FOR A CLASS OF NONLINEAR SYSTEM |
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| Fang Congna.THE EXISTENCE, UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTION FOR A CLASS OF NONLINEAR SYSTEM[J].微分方程年刊(英文版),2004,20(4):349-354. |
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| Authors: | Fang Congna |
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| Institution: | [1]BasicCoursesDept.,JimeiUniversity,Xiamen361021 [2]Dept.ofMath.,HuaqiaoUniversity,Quanzhou362011 |
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| Abstract: | In this paper, we study the problems on the existence, uniqueness and stability of almost periodic solution for a class of nonlinear system. Using fixed point theorem and Lyapunov functional, the sufficient conditions are given which guarantee the existence, uniqueness and stability of almost periodic solution for the system. |
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| Keywords: | almost periodic solution existence uniqueness stability |
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