| 具有强迫项Lienard类型方程周期解及概周期解的存在性 |
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| 引用本文： | 周进. 具有强迫项Lienard类型方程周期解及概周期解的存在性[J]. 数学学报, 1999, 42(3): 571-576. DOI: cnki:ISSN:0583-1431.0.1999-03-024 |
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| 作者姓名： | 周进 |
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| 作者单位： | 河北工业大学应用数学系 |
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| 基金项目： | 河北省高校应用数学重点学科建设基金 |
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| 摘 要： | 本文利用指数型二分性理论，给出具有强迫项的Ｌｉｅｎａｒｄ类型方程周期解及概周期解存在的充分条件，这些条件是由ＦｉｎｋＡ．Ｍ．，林发兴在文［１，２］对Ｌｉｅｎａｒｄ方程关于同样问题所获结果的自然扩展与推广
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| 关 键 词： | Lienard类型方程，周期解及概周期解，指数型二分性 |
The Existence on Periodic Solutions and Almost PeriodicSolutions of Forced Lienard-type Equations |
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| Zhou Jin. The Existence on Periodic Solutions and Almost PeriodicSolutions of Forced Lienard-type Equations[J]. Acta Mathematica Sinica, 1999, 42(3): 571-576. DOI: cnki:ISSN:0583-1431.0.1999-03-024 |
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| Authors: | Zhou Jin |
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| Affiliation: | Zhou Jin(Department of Applied Mathematics.Hebei University of Technology,Tianjin 300130,P.R.China) |
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| Abstract: | Using the exponential dichotomy theory, we give the sufficient conditions ofthe existence on periodic solutions and almost periodic solutions for forced Lie'nard-type equation These conditions are the naturalextension and generalization of the results already obtained by Fink A.M., Lin Faxingin 11, 2] associated with the same problems for Lie'nard equations. |
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| Keywords: | Lie'nard-type equations Periodic solutions and almost periodic solutions Exponential dichotomy |
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