Solvability for a fractional p -Laplacian multipoint boundary value problem at resonance on infinite interval

Advances in Difference Equations

Wei Zhang¹  Wenbin Liu¹  Taiyong Chen¹ 

[1] Department of Mathematics, China University of Mining and Technology, Xuzhou, P.R. China

关键词: boundary value problem;    fractional p-Laplacian equation;    resonance;    infinite interval;    continuation theorem;    34A08;    34B15;   

DOI  :  10.1186/s13662-016-0878-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the multipoint boundary value problem for a fractional p-Laplacian equation at resonance on infinite interval and establish the existence result of solutions by using extension of Mawhin’s continuation theorem. Our paper enriches some known existing articles. In order to illustrate our main result, we give an example.

【 授权许可】

CC BY