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互惠系统周期解的存在性
引用本文:刘稳侠,王蓉婷.互惠系统周期解的存在性[J].商丘师范学院学报,2014(6):12-16.
作者姓名:刘稳侠  王蓉婷
作者单位:浙江师范大学数理与信息工程学院;
基金项目:国家自然科学基金资助项目(109011140)
摘    要:我们探讨了n种群互惠系统,进而得到了互惠系统周期解的存在性的充分条件.我们的方法是基于Mawhin重合度,矩阵的谱理论和对算子方程Lx=λNx一些新的先验界估计.

关 键 词:互惠系统  周期解  存在性

Existence of periodic solution in mutualism system
LIU Wenxia,WANG Rongting.Existence of periodic solution in mutualism system[J].Journal of Shangqiu Teachers College,2014(6):12-16.
Authors:LIU Wenxia  WANG Rongting
Institution:(College of Mathematics, Physics and Information Engineering,Zhejiang Normal University, Jinhua 321004, China)
Abstract:In this paper, we studied the famous periodic mutualism system. Some new and interesting sufficient conditions are obtained to guarantee the existence the periodic solution in the mutualism system. Our method is based on Mawhin' s coincidence degree, matrix' s spectral theory and some new estimation techniques for the priori bounds of un - known solutions to the equation.
Keywords:mutualism system  periodic solution  existence
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