| 一类二阶积分型发展方程反周期解问题 |
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| 引用本文： | 韩香玲,刘振海.一类二阶积分型发展方程反周期解问题[J].数学理论与应用,2011(2). |
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| 作者姓名： | 韩香玲 刘振海 |
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| 作者单位： | 长沙理工大学; |
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| 摘 要： | 本文中,我们研究一类带有非单调扰动算子的二阶非线性发展方程的反周期问题,证明方程中的非单调扰动算子为极大单调的,并用极大单调算子的微单调扰动理论来证明此类方程的反周期解的存在性。
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| 关 键 词： | 反周期解 极大单调 非线性扰动 二阶非线性发展方程 |
Anti-periodic Solutions to a class of Second-order Nonlinear Evolution Equations |
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| Han Xiangling Liu Zhenhai.Anti-periodic Solutions to a class of Second-order Nonlinear Evolution Equations[J].Mathematical Theory and Applications,2011(2). |
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| Authors: | Han Xiangling Liu Zhenhai |
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| Institution: | Han Xiangling Liu Zhenhai(Department of Mathematics Changsha University of Science and Technology Changsha,410077) |
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| Abstract: | In this paper,we discuss the anti-periodic problems for a class of second-order nonlinear functional evolution equations with nonmonotone perturbations.We prove the existence of anti-periodic solutions relies on the theory of pseudomonotone perturbations of maximal monotone operators. |
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| Keywords: | Anti-periodic solutions Maximal monotone Nonmonotone perturbations Second-order nonlinear functional evolution equations |
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