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非线性电报方程组的3个双周期正解问题

王方磊 安玉坤

王方磊, 安玉坤. 非线性电报方程组的3个双周期正解问题[J]. 应用数学和力学, 2009, 30(1): 83-89.
引用本文: 王方磊, 安玉坤. 非线性电报方程组的3个双周期正解问题[J]. 应用数学和力学, 2009, 30(1): 83-89.
WANG Fang-lei, AN Yu-kun. Triple Positive Doubly Periodic Solutions of a Nonlinear Telegraph System[J]. Applied Mathematics and Mechanics, 2009, 30(1): 83-89.
Citation: WANG Fang-lei, AN Yu-kun. Triple Positive Doubly Periodic Solutions of a Nonlinear Telegraph System[J]. Applied Mathematics and Mechanics, 2009, 30(1): 83-89.

非线性电报方程组的3个双周期正解问题

详细信息
    作者简介:

    王方磊(1982- ),男,山东青岛人,博士(联系人.E-mail:wang-fanglei@hotmail.com);安玉坤,教授(E-mail:anyksd@hotmail.com).

  • 中图分类号: O175.15;O177.91

Triple Positive Doubly Periodic Solutions of a Nonlinear Telegraph System

  • 摘要: 主要考虑了带有双周期边值条件的耦合的非线性电报方程组的至少有3个双周期正解的存在性.首先利用线性电报方程的Green函数和极值原理,将非线性电报方程组解的存在性转化为算子的不动点.其次赋予非线性项一定的增长条件,然后利用有序Banach空间锥上的Leggett-Williams不动点定理来证明算子在锥中至少存在3个不动点,即非线性电报方程组至少3个非负双周期解的存在性.
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出版历程
  • 收稿日期:  2007-12-10
  • 修回日期:  2008-11-11
  • 刊出日期:  2009-01-15

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