| 一类非线性发展方程的耦合周期解 |
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| 引用本文： | 刘宏伟. 一类非线性发展方程的耦合周期解[J]. 太原师范学院学报(自然科学版), 2012, 0(4): 127-129 |
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| 作者姓名： | 刘宏伟 |
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| 作者单位： | 太原大学外语师范学院数学系 |
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| 摘 要： | 文章利用具有e-凹凸性混合单调算子的性质，讨论了非线性发展方程存在耦合周期解存在的充要条件，并给出了耦合周期解的迭代收敛序列，为此类发展方程是否具有耦合周期解提供了一种判别方法，克服了以往只给出充分条件的局限性．
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| 关 键 词： | 混合单调算子 e-凹凸性 脉冲发展方程 耦合周期解 |
Coupled Periodic Solutions of Nonlinear Evolution Equations |
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| Liu Hongwei. Coupled Periodic Solutions of Nonlinear Evolution Equations[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2012, 0(4): 127-129 |
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| Authors: | Liu Hongwei |
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| Affiliation: | Liu Hongwei(Department of Mathematics,Taiyuan University Foreign Language Teachers College,Taiyuan 030012,China) |
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| Abstract: | The nature of the mixed monotone operators with e-concavity and convexity are applied to the sufficient and necessary condition of nonlinear evolution equations has coupled periodic solution, and the iterative converge sequence of coupled periodic solution are given, provides a method to judge if this class of evolution equations have coupled periodic solution, recovers the limitation of only necessary conditions. |
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| Keywords: | the mixed monotone operators e-concavity and convexity nonlinear evolutionequations coupled periodic solution |
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