Multiple periodic solutions with minimal period 4 of the delay differential equation X(t)=-f(t,x(t-1))

Yu J.; Xiao H.

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Multiple periodic solutions with minimal period 4 of the delay differential equation X(t)=-f(t,x(t-1))

机译：延迟微分方程X（t）=-f（t，x（t-1））的最小周期4的多个周期解

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摘要

In this paper, some sufficient conditions are obtained to guarantee the existence of multiple periodic solutions with minimal period 4 of the delay differential equation X(t)=-f(t,x(t-1)) by using relative Morse index and some considerate analysis techniques.

机译：在本文中，通过使用相对摩尔斯指数，获得了一些足以保证存在最小周期为4的时滞微分方程X（t）=-f（t，x（t-1））的多个周期解的充分条件。体贴的分析技术。

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来源
《Journal of Differential Equations》 |2013年第5期|共15页
作者
Yu J.; Xiao H.;
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正文语种 eng
中图分类微分方程、积分方程;
关键词
Delay differential equations; Minimal period; Periodic solutions; Relative Morse index;

机译：时滞微分方程;最小周期;周期解;相对摩尔斯指数;

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专利

1. Multiple periodic solutions with minimal period 4 of the delay differential equation X(t)=-f(t,x(t-1)) [J] . Yu J., Xiao H. Journal of Differential Equations . 2013,第5期

机译：延迟微分方程X（t）=-f（t，x（t-1））的最小周期4的多个周期解
2. A note on periodic solutions of the delay differential equation x'(t) = -f(x(t-1)) [J] . Yu J. Proceedings of the American Mathematical Society . 2013,第4期

机译：关于时滞微分方程x'（t）= -f（x（t-1））的周期解的一个注记
3. Lower Bounds of Periods of Periodic Solutions for a Class of Differential Equations with Variable Delays [J] . Liu Xin-Ge, Tang Mei-Lan Journal of applied mathematics . 2013,第Pta5期

机译：一类具有可变时滞的微分方程的周期解的下界
4. Multiple periodic solutions of differential delay equations x'(t)=-+ sum _(i=1)~(n-1) delta_if (x(t-r_i)) with delta_i = +-1 [C] . Jibin Li, Xue-zhong He, Weigao Ge US-Chinese Conference on Differential Equations and Applications held in Hangzhou, June 24-29, 1996 . 1996

机译：差分延迟方程x'（t）=-+ sum _（i = 1）〜（n-1）delta_if（x（t-r_i））的多个周期解，其中delta_i = + -1
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. Delayed singularity formation for solutions of nonlinear partial differential equations in higher dimensions [O] . Fritz John 1976

机译：高维非线性偏微分方程解的延迟奇异性形成。
7. A note on periodic solutions of the delay differential equation $x’(t)=-f(x(t-1))$ [O] . Jianshe Yu 2012

机译：关于延迟微分方程的周期解的一个注释$ x'（t）= - f（x（t-1））$
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。

Multiple periodic solutions with minimal period 4 of the delay differential equation X(t)=-f(t,x(t-1))

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