Homoclinic solutions for an anomalous diffusion system

被引：6
|
作者：
Ding, Yanheng [1 ]
Guo, Qi [2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Beijing 100049, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 466卷 / 01期
关键词：
Fractional diffusion system; Nonlinearity; Homoclinic solution;
D O I：
10.1016/j.jmaa.2018.06.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show that there exists at least one homoclinic solution for the anomalous diffusion system, and there are infinitely many geometrically distinct solutions if the nonlinearity is Z(2) -symmetric. Moreover, the concentrating phenomenon of a type of anomalous diffusion system is discussed here. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：860 / 879
页数：20
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