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半线性方程周期边值问题

ON THE PERIODIC BOUNDARY VALUE PROBLEM OF SEMILINEAR EQUATION
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摘要 本文利用整体反函数理论,研究了半线性周期边值问题,给出存在唯一性的充分条件,推广和改进了现有的结果. In this paper, we use global inverse function theorems to investigate periodic boundary value problem of semilinear equation, and give out a sufficient condition of existense and uniqueness for periodic solution, The results generalize and improve some known results.
作者 王文
出处 《数学杂志》 CSCD 北大核心 2005年第6期685-690,共6页 Journal of Mathematics
关键词 周期解 半线性方程 存在唯一性 整体反函数定理 periodic solution semilinear equation existense and uniqueness global inverse function theorems
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