Multiplicity of solutions to a four-point boundary value problem of a differential system via variational approach

Boundary value problems

Weigao Ge¹  Zhihong Zhao² 

[1] Department of Mathematics, Beijing Institute of Technology, Beijing, P.R. China;Department of Mathematics, University of Science and Technology Beijing, Beijing, P.R. China

关键词: four-point boundary value problem;    functional;    critical point;    variational approach;    differential system;    34B15;   

DOI  :  10.1186/s13661-016-0559-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By constructing an adequate real functional and choosing an appropriate admissible function space, the existence of multiple solutions to a four-point boundary value problem, which may be taken as an extension of Sturm-Liouville boundary value problems, is proved via a variational approach for a second-order differential system with a p-Laplacian.

【 授权许可】

CC BY