Existence theorems of periodic solutions for fourth-order nonlinear functional difference equations

Liu X.; Zhang Y.; Shi H.

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Existence theorems of periodic solutions for fourth-order nonlinear functional difference equations

机译：四阶非线性泛函差分方程周期解的存在性定理

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摘要

By using of the critical point method, the existence of periodic solutions for fourth-order nonlinear functional difference equations 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 of fourth-order nonlinear functional difference equations. Results obtained generalize and complement the existing one.

机译：利用临界点方法，获得了四阶非线性泛函差分方程周期解的存在性。本文使用的主要方法是变分技术和鞍点定理。问题是要解决四阶非线性泛函差分方程周期解的存在性。获得的结果可以概括并补充现有的结果。

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《Journal of Applied Mathematics and Computing》 |2013年第2期|共17页
作者
Liu X.; Zhang Y.; Shi H.;
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正文语种 eng
中图分类数学;
关键词
Discrete variational theory; Existence; Fourth-order; Functional difference equations; Periodic solutions;

机译：离散变分理论存在性四阶函数差分方程周期解;

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1. Existence theorems of periodic solutions for fourth-order nonlinear functional difference equations [J] . Liu X., Zhang Y., Shi H. Journal of Applied Mathematics and Computing . 2013,第1a2期

机译：四阶非线性泛函差分方程周期解的存在性定理
2. Existence of periodic solutions of higher order nonlinear functional difference equations [J] . Liu Y. Journal of difference equations and applications . 2010,第7期

机译：高阶非线性泛函差分方程周期解的存在性
3. Existence of periodic solutions of higher order nonlinear functional difference equations [J] . Yuji Liua* Journal of Difference Equations and Applications . 2010,第7期

机译：高阶非线性泛函差分方程周期解的存在性
4. Existence of three positive periodic solutions of nonlinear neutral functional differential equations with impulses and delays [C] . Yaping Ren 2011 International Conference on Multimedia Technology . 2011

机译：具脉冲和时滞的非线性中立型泛函微分方程三个正周期解的存在性。
5. Existence theorems for nonlinear functional differential equations. [D] . McKibben, Mark Anthony. 1999

机译：非线性泛函微分方程的存在性定理。
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8. EXISTENCE THEOREMS FOR PERIODIC SOLUTIONS OF NONLINEAR DIFFERENTIAL SYSTEMS [R] . L. Cesari 1960

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Existence theorems of periodic solutions for fourth-order nonlinear functional difference equations

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