Existence of periodic solutions for second-order differential equations with singularities and the strong force condition

Martins RF

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Existence of periodic solutions for second-order differential equations with singularities and the strong force condition

机译：具有奇异性和强力条件的二阶微分方程周期解的存在性

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摘要

We prove the existence of periodic solutions for the equation u" + f (u)u' + g(t, u) = e (t),

机译：我们证明了方程u“ + f（u）u'+ g（t，u）= e（t）的周期解的存在，

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来源
《Journal of Mathematical Analysis and Applications》 |2006年第1期|共13页
作者
Martins RF;
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正文语种 eng
中图分类数学;
关键词
periodic solutions; subharmomics; repulsive singularities; truncation; LIENARD EQUATIONS;

机译：周期解;次谐波;排斥奇点;截断;LIENARD方程;

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专利

1. Existence of periodic solutions for second-order differential equations with singularities and the strong force condition [J] . Martins RF Journal of Mathematical Analysis and Applications . 2006,第1期

机译：具有奇异性和强力条件的二阶微分方程周期解的存在性
2. Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions [J] . El-Sayed Ahmed M. A., Gaafar Fatma M. Journal of Function Spaces . 2018,第1期

机译：周期性和偏离非局部多点边界条件的奇异二阶常微分方程解的存在性
3. Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions [J] . Ahmed M. A. El-Sayed, Fatma M. Gaafar Journal of Function Spaces . 2018,第1期

机译：具有周期性和偏离非局部多点边界条件的奇异二阶常微分方程解的存在性
4. Positive Periodic Solutions to Singular Second-Order Semi-Linear Differential Equations [C] . Zou Yuren, Li Zhilong International Conference on Management of e-Commerce and e-Government . 2008

机译：奇异二阶半线性微分方程的正周期解
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. Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities [O] . Yun Xin, Hongmin Liu -1

机译：具有吸引和排斥奇点的四阶广义中立p-Laplacian微分方程周期解的存在性
7. Existence of periodic solutions for second-order differential equations with singularities and the strong force condition [O] . Martins Rogério Ferreira 2006

机译：具有奇异性和强力条件的二阶微分方程周期解的存在性
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。

Existence of periodic solutions for second-order differential equations with singularities and the strong force condition

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