Periodic and subharmonic solutions for 2nth-order phi(c)-Laplacian difference equations containing both advance and retardation

Leng Jianhua

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Periodic and subharmonic solutions for 2nth-order phi(c)-Laplacian difference equations containing both advance and retardation

机译：包含提前量和滞后量的2n阶phi（c）-Laplacian差分方程的周期和次谐波解

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In this paper, a 2nth-order (phi(c)-Laplacian difference equation is considered. By using the critical point theory, we establish some new criteria for the existence and multiplicity of periodic and subharmonic solutions. The proof is based on the Linking Theorem in combination with variational technique. (C) 2016 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

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《Indagationes Mathematicae》 |2016年第4期|共12页
作者
Leng Jianhua;
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正文语种 eng
中图分类数学;
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Periodic and subharmonic solutions; phi-Laplacian; Difference equations; Critical point theory;

机译：周期和次谐波解;phi-Laplacian;微分方程;临界点理论;

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专利

1. Periodic and subharmonic solutions for 2nth-order phi(c)-Laplacian difference equations containing both advance and retardation [J] . Leng Jianhua Indagationes Mathematicae . 2016,第4期

机译：包含提前量和滞后量的2n阶phi（c）-Laplacian差分方程的周期和次谐波解
2. PERIODIC AND SUBHARMONIC SOLUTIONS FOR A 2nTH-ORDER Φ_c-LAPLACIAN DIFFERENCE EQUATION CONTAINING BOTH ADVANCES AND RETARDATIONS [J] . PENG MEI, ZHAN ZHOU, GENGHONG LIN Discrete and continuous dynamical systems▼hSeries S . 2019,第7期

机译：用于2阶φ_C拉普拉斯差异方程的周期性和次谐官能溶液，其包含两种前进和延迟
3. Periodic and subharmonic solutions for a 2 n th-order difference equationcontaining both advance and retardation with ? -Laplacian [J] . Genghong Lin, Zhan Zhou Advances in Difference Equations . 2014,第1期

机译：包含提前量和滞后量的2 n次差分方程的周期和次谐波解-拉普拉斯
4. Periodic solutions of periodic difference equations [C] . Tetsuo Furumochi, Masato Muraoka International Workshop on Automata, Formal Languages and Algebraic Systems . 2010

机译：周期差分方程的定期解
5. On the periodic nature of solutions to the reciprocal delay difference equation with maximum. [D] . Bidwell, John Charles. 2005

机译：关于倒数时滞差分方程最大解的周期性质。
6. Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-Laplacian [O] . Guowei Sun, Ali Mai -1

机译：具有p-Laplacian的二阶非线性差分方程的无限多个同宿解
7. Periodic and subharmonic solutions for a 2nth-order p-Laplacian difference equation containing both advances and retardations [O] . Peng Mei, Zhan Zhou 2018

机译：用于延迟和延迟的2个阶P-LAPLACIA差分方程的周期性和次谐态解
8. PART I Recent Work on Families of Periodic Solutions of Ordinary Differential Equations. PART II Singular Solutions of Systems of Real Analytic Equations. PART III The Stromgren-Wintner Principle on the Termination of Families of Periodic Solutions. [R] . Daniel C. Lewis 1959

机译：第一部分关于常微分方程周期解族的近期研究。第二部分实分析方程组的奇异解。第三部分stromgren-Wintner关于终止家庭周期解的原则。

Periodic and subharmonic solutions for 2nth-order phi(c)-Laplacian difference equations containing both advance and retardation

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