| 指数三分与伪几乎自守解的存在性 |
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| 引用本文： | 李兰,王妍.指数三分与伪几乎自守解的存在性[J].吉林大学学报(理学版),2010,48(2):231-233. |
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| 作者姓名： | 李兰 王妍 |
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| 作者单位： | 1. 吉林大学 数学研究所, 长春 130012,2. 大连理工大学 数学科学学院, 辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金(批准号:J0630104) |
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| 摘 要： | 考虑具有指数三分性的线性微分方程伪几乎自守解的存在性,应用Leray-Schauder不动点定理证明了对于非线性方程x′(t)=f(t,x(t))+g(t,x(t)),当f和g均为伪几乎自守时存在伪几乎自守解.
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| 关 键 词： | 指数三分 伪几乎自守 不动点 |
| 收稿时间： | 2010-02-26 |
Exponential Trichotomy and Existence of Pseudo-Almost Automorphic Solutions |
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| LI Lan,WANG Yan.Exponential Trichotomy and Existence of Pseudo-Almost Automorphic Solutions[J].Journal of Jilin University: Sci Ed,2010,48(2):231-233. |
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| Authors: | LI Lan WANG Yan |
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| Institution: | 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning Province, China |
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| Abstract: | The authors dealt with the existence of pseudo-almost automorphic solutions to the linear differential equation which has an exponential trichotomy,and the result also holds for nonlinear equations x′(t)=f(t,x(t))+g(t,x(t)) by means of the application of Leray-Schauder fixed point theorem,where f,g are pseudo-almost automorphic functions. |
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| Keywords: | exponential trichotomy pseudo-almost automorphic fixed point |
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