摘要
讨论了在无穷区间上一类分数阶耦合系统边值问题解的存在性的问题.通过建立相应的相对紧的判定准则,构造相应的全连续算子,借助不动点理论及Leray-Schauder非线性抉择,得到解的存在性.
In this paper, we investigate existence solutions for a coupled system of frac- tional boundary value problems on unbounded domains. By using corresponding suitable Banach spaces, discussing the sufficient condition of relatively compact, constructing the corresponding completely continuous operators and applying Schauder fixed point theorem and Nonlinear alternative of Leray-Schauder, we obtain the existence of solution.
出处
《数学的实践与认识》
北大核心
2017年第16期171-180,共10页
Mathematics in Practice and Theory
基金
国家自然科学基金(61403335)
河北省青年科学基金(13961806D)
关键词
无穷区间
不动点定理
边值问题
耦合系统
unbounded domains
Fixed point theorem
boundary value problem
coupledsystem