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卓相来. Lienard型方程周期解的存在性[J]. 信阳师范学院学报(自然科学版), 2002, 15(3): 273-276.
引用本文: 卓相来. Lienard型方程周期解的存在性[J]. 信阳师范学院学报(自然科学版), 2002, 15(3): 273-276.
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ZHUO Xiang lai. The existence of periodic solutions for generalized Lienard-type equation[J]. Journal of Xinyang Normal University (Natural Science Edition), 2002, 15(3): 273-276.
Citation: ZHUO Xiang lai. The existence of periodic solutions for generalized Lienard-type equation[J]. Journal of Xinyang Normal University (Natural Science Edition), 2002, 15(3): 273-276.
shu

Lienard型方程周期解的存在性

The existence of periodic solutions for generalized Lienard-type equation

    摘要
  • 摘要: 讨论了一类广义 Lienard型方程 x+f1 (x) x+f2 (x) x2 +f3 (x) x3 +g(x) =0 ,给出了一些充分条件以保证其任何非平凡解为振荡的 ,而且证明了周期解的存在性

     

    Abstract: The generalized Lienard type equation +f 1(x)+f 2(x) 2+f 3(x) 3+g(x) =0 is discussed,and some sufficient conditions to guarantee the oscillating of its any non trivial solution are obtained. Furthermore,the existence of periodic solution is proved.

     

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