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一类广义Sine-Gordon方程的概周期解 被引量:4

Almost Periodic Solutions for a Class of Generalized Sine-Gordon Equations
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摘要 用最大值原理和Banach压缩映像原理研究一类广义Sine-Gordon方程的概周期解问题,证明概周期解的存在‖u‖L∞<π2中的唯一性。 In this paper, we study the generalized Sine-Gordon equation. The existence of An almost periodic solution is proved and its uniqueness in ||u||L^∞〈π/2 is obtained. The crucial tools in the proofs are the maximum principle and the Banach contraction mapping principle.
出处 《中国海洋大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第6期892-894,共3页 Periodical of Ocean University of China
基金 国家自然科学基金项目(10371010)资助
关键词 广义Sine-Gordon方程 电报方程 概周期解 最大值原理 Banach压缩映像原理 generalized Sine-Gordon equation telegraph equation almost periodic solution maximum principle banach contraction mapping principle
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参考文献9

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