PERIODIC AND SUBHARMONIC SOLUTIONS FOR A 2nTH-ORDER Φ_c-LAPLACIAN DIFFERENCE EQUATION CONTAINING BOTH ADVANCES AND RETARDATIONS

PENG MEI; ZHAN ZHOU; GENGHONG LIN

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PERIODIC AND SUBHARMONIC SOLUTIONS FOR A 2nTH-ORDER Φ_c-LAPLACIAN DIFFERENCE EQUATION CONTAINING BOTH ADVANCES AND RETARDATIONS

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

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摘要

We consider a 2nth-order nonlinear difference equation containing both many advances and retardations with Φ_c-Laplacian. Using the critical point theory, we obtain some new and concrete criteria for the existence and multiplicity of periodic and subharmonic solutions in the more general case of the nonlinearity.

机译：我们考虑一个2个阶非线性差异方程，其中包含许多前进和斜面的延迟和φ_c-laplacian。使用临界点理论，我们在非线性的更常规情况下，获得了一些新的和具体的定期和次谐波解决方案的存在和多种标准。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2019年第7期|2085-2095|共11页
作者
PENG MEI; ZHAN ZHOU; GENGHONG LIN;
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作者单位

School of Mathematics and Information Science Guangzhou University Guangzhou 510006 China;

School of Mathematics and Information Science Guangzhou University Guangzhou 510006 China;

School of Mathematics and Information Science Guangzhou University Guangzhou 510006 China;

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正文语种 eng
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Periodic and subharmonic solution; 2nth-order; nonlinear difference equation; Φ_c-Laplacian; critical point theory;

机译：定期和次谐官能溶液;2阶;非线性差异方程;φ_c-laplacian;关键点论;

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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 2nth-order p-Laplacian Difference Equations [J] . X. Liu, Y. Zhang, H. Shi Journal of Contemporary Mathematical Analysis . 2014,第5期

机译：2n阶p-Laplacian差分方程的周期和亚调和解
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. ON THE LIMIT OF SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS AS THE RETARDATION APPROACHES ZERO [O] . Richard Bellman, Kenneth L. Cooke 1959

机译：差法近似为零的微分方程解的极限
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

PERIODIC AND SUBHARMONIC SOLUTIONS FOR A 2nTH-ORDER Φ_c-LAPLACIAN DIFFERENCE EQUATION CONTAINING BOTH ADVANCES AND RETARDATIONS

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