一类耦合系统的共振经典解  

Resonant classical solutions for a kind of coupled system

作　　者：鲁雄[1] 索洪敏 LU Xiong;SUO Hongmin(Department of Basic Education,Guiyang Vocational and Technical College,Guiyang 550081,China;School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]贵阳职业技术学院基础教育部,贵州贵阳550081 [2]贵州民族大学数据科学与信息工程学院,贵州贵阳550025

出　　处：《贵州科学》2021年第5期92-96,共5页Guizhou Science

基　　金：国家自然科学基金(11661021,11861021)。

摘　　要：考虑了一个基尔霍夫型问题的弱耦合系统,利用代数分析的方法获得无穷多共振经典解的存在性。特别地,当系统中的参数满足不同条件时,单个弱耦合的函数分别对应了1个、2个或3个线性相关的经典解。We consider a weakly coupled system with Kirchhoff-type problems in this paper.By using the method of algebraic analysis,we obtain the existence of infinitely many resonant classical solutions.Moreover,there are at least one,two or three solutions matching a single coupled function and these solutions are linearly related when the parameters in the system satisfy different conditions.

关 键 词：基尔霍夫型问题 耦合系统 共振解 代数分析方法 

分 类 号：O177.9[理学—数学] O175.23[理学—基础数学]