摘要
讨论了共振条件下具有2m点分数阶耦合系统的边值问题解的存在性．研究减弱了相应的条件，利用重合度理论，在dimKerL=6时，建立并证明了边值问题解的存在性的充分条件，推广了已有的相应结果．
Existence of solution for a coupled system with fractional 2m-point boundary value problems is considered at resonance in this article. The study weakens the responding condition. By using the theory of coincidence degree, We obtain and prove the sufficient condition for the integral boudaxy value problem with dimKerL = 6. Some relevant results in the literature are improved.
作者
刘小刚
钟记超
任睿超
惠小健
欧阳自根
LIU Xiao-gang;ZHONG Ji-chao;REN Rui-chao;HUI Xiao-jian;OUYANG Zi-gen(Department of Science, Xijing University, Xi＇an 710123, China;College of Science, Hunan University of Technology, Zhuzhou 412007, China;School of Mathematics, Northwest University Xi＇an 710127, China;School of Mathematics and Physics, University of South China, Hengyang 421000, China)
出处
《数学的实践与认识》
北大核心
2018年第10期216-224,共9页
Mathematics in Practice and Theory
基金
2016陕西省教育厅专项科研项目:几类微分方程解的定性研究及其应用(16JK2213)
关键词
共振
重合度理论
耦合系统
边值问题
at resonance
the theory of coincidence degree
A coupled system
boundary value problems
