摘要
利用特殊函数法和微分方程中的分析技巧考虑同时含有线性项和负模量的基尔霍夫型非局部问题,该问题囊括共振和近共振情形,立足于特征函数,获得无穷多解的存在性及其表示方法,并给出了相关例子,补充了已有文献的研究范围.
Nonlocal Kirchhoff-type problems with linear terms and negative modulus are studied by applying the method of special function and analytical techniques in differential equations,and this kind of problems include the resonance and near-resonant cases.Based on the characteristic function,the existence and representation of infinite solutions are obtained.The related examples are given,and the research scope of the existing literature is supplemented.
作者
雷俊
王跃
索洪敏
LEI Jun;WANG Yue;SUO Hongmin(School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang,Guizhou 550025,China;School of Mathematics and Statistics,Guizhou University,Guiyang,Guizhou 550025,China)
出处
《湖南城市学院学报（自然科学版）》
CAS
2019年第6期46-49,共4页
Journal of Hunan City University:Natural Science
基金
国家自然科学基金资助项目(11661021,11861021)
贵州省教育厅科研项目(黔教合KY字[2016]029，黔教合基础[2019]1163)
关键词
非局部问题
特殊函数法
无穷多解
nonlocal problems
method of special function
infinite solutions
