The Integrability and Existence of Periodic Solutions on a First-Order Nonlinear Differential Equation with a Polynomial Nonlinear Term

NiHua; TianLi-Xin

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The Integrability and Existence of Periodic Solutions on a First-Order Nonlinear Differential Equation with a Polynomial Nonlinear Term

机译：具有多项式非线性项的一阶非线性微分方程周期解的可积性和存在性

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摘要

This paper deals with a first-order differential equation with a polynomial nonlinear term. The integrability and existence of periodic solutions of the equation are obtained, and the stability of periodic solutions of the equation is derived.

机译：本文处理的是带有多项式非线性项的一阶微分方程。得到方程的周期解的可积性和存在性，并推导了方程周期解的稳定性。

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2012年第5期|共26页
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NiHua; TianLi-Xin;
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中图分类工程数学;
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专利

1. The Integrability and Existence of Periodic Solutions on a First-Order Nonlinear Differential Equation with a Polynomial Nonlinear Term [J] . Ni Hua, Tian Li-Xin Mathematical Problems in Engineering . 2012,第PTa3期

机译：具有多项式非线性项的一阶非线性微分方程周期解的可积性和存在性
2. Existence of periodic solutions for first-order totally nonlinear neutral differential equations with variable delay [J] . Abdelouaheb Ardjouni, Ahcène Djoudi Commentationes mathematicae Universitatis Carolinae . 2014,第2期

机译：一阶具有变时滞的完全非线性中立型微分方程周期解的存在性
3. Existence of positive periodic solutions of nonlinear first-order delayed differential equations [J] . Ma R., Chen R., Chen T. Journal of Mathematical Analysis and Applications . 2011,第2期

机译：一阶非线性时滞微分方程正周期解的存在性
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. On the existence of infinite bump solutions of nonlinear Schroedinger equations with periodic potentials [D] . Thandi, Neeza. 1995

机译：具有周期性潜力的非线性施格格方程无限凸块解的存在
6. EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR EQUATIONS OF EVOLUTION [O] . Felix E. Browder 1965

机译：非线性演化方程周期解的存在性
7. The Integrability and Existence of Periodic Solutions on a First-Order Nonlinear Differential Equation with a Polynomial Nonlinear Term [O] . Ni Hua, Tian Li-Xin 2012

机译：具有多项式非线性术语的一阶非线性微分方程周期解的可积和存在性

The Integrability and Existence of Periodic Solutions on a First-Order Nonlinear Differential Equation with a Polynomial Nonlinear Term

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