Periodic solutions of nonautonomous ordinary differential equations

I. Kiguradze; A. Lomtatidze

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Periodic solutions of nonautonomous ordinary differential equations

机译：非自治常微分方程的周期解

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For higher order ordinary differential equations, new sufficient conditions on the existence and uniqueness of periodic solutions are established. Results obtained cover the case when the right-hand side of the equation is not of a constant sign with respect to an independent variable. Keywords Nonautonomous differential equation - Periodic solution - Existence - Uniqueness Mathematics Subject Classification (2000) 34C25 - 34B05 - 34B15 Communicated by A. Jüngel.

机译：对于高阶常微分方程，建立了关于周期解的存在性和唯一性的新的充分条件。所获得的结果涵盖了方程的右侧相对于自变量不是恒定符号的情况。非自治微分方程-周期解-存在-唯一性数学学科分类（2000）34C25-34B05-34B15由A.Jüngel沟通。

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《Monatshefte für Mathematik》 |2010年第3期|p.235-252|共18页
作者
I. Kiguradze; A. Lomtatidze;
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正文语种 eng
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关键词
Nonautonomous differential equation; Periodic solution; Existence; Uniqueness;

机译：非自治微分方程;周期解;存在;独特性;

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专利

1. Periodic solutions of nonautonomous ordinary differential equations [J] . Kiguradze I., Lomtatidze A. Monatshefte fur Mathematik . 2010,第3期

机译：非自治常微分方程的周期解
2. Periodic solutions for a nonautonomous ordinary differential equation [J] . Araujo A.L.A. Nonlinear Analysis: An International Multidisciplinary Journal . 2012,第5期

机译：非自治常微分方程的周期解
3. Dynamics of Nonautonomous Ordinary Differential Equations with Quasi-Periodic Coefficients [J] . Zhang Xu International journal of bifurcation and chaos in applied sciences and engineering . 2017,第6期

机译：用准周期系数的非编程常微分方程的动态
4. Existence of Positive Periodic Solutions for Nonautonomous Delay Differential Equations Based on Multiple Integral Approximation [C] . Liu Ye 2019 International Seminar on Automation，Intelligence，Computing， and Networking (ISAICN 2019) （2019自动化、智能、计算和网络国际研讨会）论文集 . -1

机译：基于多积分近似的非自治延迟微分方程正周期解的存在性
5. Twin solutions of even order boundary value problems for ordinary differential equations and finite difference equations. [D] . Sun, Xun. 2009

机译：常微分方程和有限差分方程偶数边值问题的孪生解。
6. Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations [O] . Gabil M. Amiraliyev, Aysenur Ucar 2013

机译：奇摄动常微分方程时间周期解的渐近界
7. Existence of nontrivial periodic solutions of certain nonautonomous ordinary differential equations [O] . Smith Russell A 1979

机译：某些非自治常微分方程非平凡周期解的存在性
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 of nonautonomous ordinary differential equations

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