Open Access
2016 Existence of Periodic Solutions for a $2n$th-order Nonlinear Difference Equation
Haiping Shi, Yuanbiao Zhang
Taiwanese J. Math. 20(1): 143-160 (2016). DOI: 10.11650/tjm.20.2016.5844

Abstract

By using the critical point theory, the existence of periodic solutions for a $2n$th-order nonlinear difference equation 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 $2n$th-order nonlinear difference equation. Results obtained successfully complement the existing one.

Citation

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Haiping Shi. Yuanbiao Zhang. "Existence of Periodic Solutions for a $2n$th-order Nonlinear Difference Equation." Taiwanese J. Math. 20 (1) 143 - 160, 2016. https://doi.org/10.11650/tjm.20.2016.5844

Information

Published: 2016
First available in Project Euclid: 1 July 2017

zbMATH: 1357.39011
MathSciNet: MR3462872
Digital Object Identifier: 10.11650/tjm.20.2016.5844

Subjects:
Primary: 39A23

Keywords: discrete variational theory , existence , periodic solutions

Rights: Copyright © 2016 The Mathematical Society of the Republic of China

Vol.20 • No. 1 • 2016
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