Periodic and subharmonic solutions for a 2 n th-order difference equationcontaining both advance and retardation with ϕ -Laplacian

Advances in Difference Equations

Zhan Zhou¹  Genghong Lin² 

[1] Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong HigherEducation Institutes, Guangzhou University, Guangdong, P.R. China;School of Mathematics and Information Science, Guangzhou University, Guangdong, P.R. China

关键词: periodic and subharmonic solutions;    2n th-order;    critical point theory;    difference equations;    ϕ-Laplacian;   

DOI  :  10.1186/1687-1847-2014-74

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, by using critical point theory, we obtain some new sufficientconditions on the existence and multiplicity of periodic and subharmonic solutions toa 2n th-order nonlinear difference equation containing both advance andretardation with ϕ-Laplacian. Some previous results have beengeneralized.

【 授权许可】

CC BY