Periodic solutions for first order differential systems

Agarwal RP; Chen JH

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Periodic solutions for first order differential systems

机译：一阶微分系统的周期解

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摘要

This paper presents some existence and uniqueness results for periodic solution of a class of first order nonlinear ordinary differential systems.

机译：本文给出了一类一阶非线性常微分系统周期解的存在性和唯一性结果。

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《Applied mathematics letters》 |2010年第3期|共5页
作者
Agarwal RP; Chen JH;
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正文语种 eng
中图分类应用数学;
关键词
First order differential system; Periodic solution; Initial value problems; Fixed point; Global inverse function theorem;

机译：一阶微分系统;周期解;初值问题;不动点;全局逆函数定理;

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专利

1. Connecting orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system [J] . Chen YM., Krisztin T., Wu JH. Journal of Differential Equations . 2000,第1期

机译：时滞差分系统中从同步周期解到锁相周期解的连接轨道
2. Stable Periodic Solutions of Periodic Systems of Differential Equations [J] . E. V. Vasil’eva Vestnik, St. Petersburg University. Mathematics . 2018,第1期

机译：微分方程周期系统的稳定周期解
3. PERIODIC AND ASYMPTOTICALLY PERIODIC SOLUTIONS IN COUPLED NONLINEAR SYSTEMS OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS [J] . MUHAMMAD N. ISLAM, YOUSSEF N. RAFFOUL Dynamic Systems and Applications . 2014,第2a3期

机译：Volterra积分微分方程非线性耦合系统的周期和渐近周期解。
4. Optimal Estimation of Unknown Right-Hand Sides of First Order Linear Systems of Periodic Ordinary Differential Equations from Indirect Noisy Observations of Their Solutions [C] . Oleksandr Nakonechnyi, Yuri Podlipenko IEEE International Conference on System Analysis and Intelligent Computing . 2020

机译：从其解的间接噪声观测值估计一阶常微分方程线性系统的未知右手边的最优估计
5. Pseudo almost periodic solutions to some systems of nonlinear hyperbolic second-order partial differential equations. [D] . Al-Islam, Najja Shakir. 2009

机译：某些非线性双曲型二阶偏微分方程组的伪几乎周期解。
6. Periodic Solutions for Nonlinear Integro-Differential Systems with Piecewise Constant Argument [O] . Kuo-Shou Chiu -1

机译：分段常数非线性积分微分系统的周期解。
7. Connecting Orbits from Synchronous Periodic Solutions to Phase-Locked Periodic Solutions in a Delay Differential System [O] . Chen Yuming, Wu Jianhong, Krisztin Tibor 2000

机译：时滞微分系统中从同步周期解到锁相周期解的轨道连接
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 solutions for first order differential systems

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