PERIODIC SOLUTION FOR GENERALIZED HIGH-ORDER DELAY DIFFERENTIAL EQUATIONS

Zhibo Cheng; Jingli Ren; Stefan Siegmund

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PERIODIC SOLUTION FOR GENERALIZED HIGH-ORDER DELAY DIFFERENTIAL EQUATIONS

机译：广义高阶时滞微分方程的周期解。

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摘要

In this paper we consider a generalized n-th order delay differential equation, by applyingMawhin's continuation theory and some new inequalities, we obtain sufficient conditionsfor the existence of periodic solutions. Moreover, an example is given to illustrate theresults.

机译：本文考虑广义n阶时滞微分方程，通过应用Mawhin的延续理论和一些新的不等式，为周期解的存在提供了充分的条件。此外，给出了一个例子来说明结果。

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来源
《Asian-European journal of mathematics》 |2010年第1期|共13页
作者
Zhibo Cheng; Jingli Ren; Stefan Siegmund;
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正文语种 eng
中图分类数学;
关键词
Periodic solution; high-order; delay differential equation;

机译：周期解;高阶;时滞微分方程;

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1. PERIODIC SOLUTION FOR GENERALIZED HIGH-ORDER DELAY DIFFERENTIAL EQUATIONS [J] . Zhibo Cheng, Jingli Ren, Stefan Siegmund Asian-European journal of mathematics . 2010,第1期

机译：广义高阶时滞微分方程的周期解。
2. Periodic solutions for generalized high-order neutral differential equation in the critical case [J] . Jingli Ren, Zhibo Cheng Nonlinear Analysis: An International Multidisciplinary Journal . 2009,第12期

机译：临界情况下广义高阶中立型微分方程的周期解
3. Positive Periodic Solution for the Generalized Neutral Differential Equation with Multiple Delays and Impulse [J] . Zhenguo Luo, Liping Luo, Yunhui Zeng Journal of applied mathematics . 2014,第Pta2期

机译：具有多个时滞和脉冲的广义中立型微分方程的正周期解。
4. Almost periodic and asymptotically almost periodic mild solutions for nonlinear abstract functional differential equations with infinite delay [C] . Peng Xiao, Yanfei Du 2011 International Conference on Multimedia Technology . 2011

机译：无限时滞非线性抽象泛函微分方程的概周期解和渐近概周期解
5. Periodic solutions of a delay equation with three delays. [D] . Johnston, Christopher James. 2003

机译：具有三个时滞的时滞方程的周期解。
6. Periodicity computation of generalized mathematical biology problems involving delay differential equations [O] . M. Jasim Mohammed, Rabha W. Ibrahim, M.Z. Ahmad 2017

机译：含时滞微分方程的广义数学生物学问题的周期性计算
7. Almost Periodic Solutions of Certain Differential Equations with Piecewise Constant Delays and Almost Periodic Time Dependence [O] . Seifert George 2000

机译：具有分段恒定时滞和时滞的周期微分方程的概周期解。

PERIODIC SOLUTION FOR GENERALIZED HIGH-ORDER DELAY DIFFERENTIAL EQUATIONS

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