SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH LINEAR IMPULSE AND PERIODIC BOUNDARY CONDITIONS*

Aydin Huseynov

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SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH LINEAR IMPULSE AND PERIODIC BOUNDARY CONDITIONS*

机译：具有线性脉冲和周期边界条件的二阶非线性微分方程*

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摘要

In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.

机译：在这项研究中，我们建立了在线性脉冲条件和周期边界条件的有限区间内二阶非线性微分方程解的存在性和唯一性定理。获得的结果在整个实轴上产生了相应的周期脉冲非线性微分方程的周期解。

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来源
《Applications of Mathematics》 |2011年第6期|p.591-606|共16页
作者
Aydin Huseynov;
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作者单位

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, AZ1141 Baku, Azerbaijan;

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原文格式 PDF
正文语种 eng
中图分类
关键词
impulse conditions; periodic boundary conditions; green's function; fixed point theorems;

机译：冲动条件;周期性边界条件;格林函数不动点定理;

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专利

1. Second order nonlinear differential equations with linear impulse and periodic boundary conditions [J] . Huseynov Aydin Applications of mathematics . 2011,第6期

机译：具有线性脉冲和周期边界条件的二阶非线性微分方程
2. Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions [J] . Zhang Lihong, Wang Guotao Electronic Journal of Qualitative Theory of Differential Equations . 2011,第13a16期

机译：具有脉冲和反周期边界条件的非线性分数阶微分方程解的存在性
3. Existence of Solutions to Anti-Periodic Boundary Value Problem for Nonlinear Fractional Differential Equations with Impulses [J] . Anping Chen, Yi Chen Advances in Difference Equations . 2011,第1期

机译：脉冲非线性分数阶微分方程反周期边值问题解的存在性
4. THE SPATIAL AND TEMPORAL HARMONIC BALANCE METHOD FOR OBTAINING PERIODIC RESPONSES OF A NONLINEAR PARTIAL DIFFERENTIAL EQUATION WITH A LINEAR COMPLEX BOUNDARY CONDITION [C] . Xuefeng Wang, Weidong Zhu Proceedings of the ASME international design engineering technical conferences and computers and information in engineering conference 2017 . 2017

机译：具有线性复杂边界条件的非线性偏微分方程周期响应的时空谐波平衡方法
5. Nonlinear Dynamic Equations subject to Global and Periodic Boundary Conditions [D] . Abernathy, Zachary John 2011

机译：服从全局和周期边界条件的非线性动力学方程
6. Modified Taylor series method for solving nonlinear differential equations with mixed boundary conditions defined on finite intervals [O] . Hector Vazquez-Leal, Brahim Benhammouda, Uriel Antonio Filobello-Nino, -1

机译：修正泰勒级数法求解有限边界上混合边界条件的非线性微分方程
7. Second order nonlinear differential equations with linear impulse and periodic boundary conditions [O] . Huseynov, Aydin 2011

机译：具有线性脉冲和周期边界条件的二阶非线性微分方程
8. Boundary Value Problems and Periodic Solutions of Nonlinear Ordinary, Functional and Partial Differential Equations. [R] . Schmitt, K. 1977

机译：非线性常微分，泛函微分方程的边值问题及周期解。

SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH LINEAR IMPULSE AND PERIODIC BOUNDARY CONDITIONS*

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