Existence of Periodic Solutions for a 2n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n$$\end{document}th-Order Difference Equation Involving p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-Laplacian

被引：0
作者：
Xia Liu
Yuanbiao Zhang
Haiping Shi
Xiaoqing Deng
机构：
[1] Hunan Agricultural University,Oriental Science and Technology College
[2] Hunan Agricultural University,Science College
[3] Jinan University,Packaging Engineering Institute
[4] Guangdong Construction Vocational Technology Institute,Modern Business and Management Department
[5] Hunan University of Commerce,School of Mathematics and Statistics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2015年 / 38卷 / 3期
关键词：
Periodic solutions; 2; th-order; Nonlinear difference equation; Discrete variational theory; -Laplacian; 39A23;
D O I：
10.1007/s40840-014-0066-0
中图分类号：
学科分类号：
摘要：
Using the critical point theory, the existence of periodic solutions for a 2n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n$$\end{document}th-order nonlinear difference equation containing both advance and retardation involving p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-Laplacian is obtained. The main approaches used in our paper are variational techniques and the Saddle Point Theorem. The problem is to solve the existence of periodic solutions for a 2n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n$$\end{document}th-order p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-Laplacian difference equation. The obtained results successfully generalize and complement the existing ones.
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页码：1107 / 1125
页数：18
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