| 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. |
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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. |
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| Authors: | Zhou Jin |
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| Institution: | 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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