Existence Results for Systems of Second-Order Impulsive Differential Equations via Variational Method

Mahjouba Amina; Abdelkader Dellal; Juan J.Nieto; Abdelghani Ouahab

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Existence Results for Systems of Second-Order Impulsive Differential Equations via Variational Method

机译：通过变分法对二阶脉冲微分方程系统的存在结果

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摘要

In this paper, we establish an existence and uniqueness result for systems of second-order impulsive differential equations with boundary conditions.The functional energy and Nash-type equilibrium are employed.

机译：在本文中，我们建立了具有边界条件的二阶脉冲微分方程系统的存在和唯一性结果。采用功能能量和纳什型均衡。

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来源
《International Journal of Difference Equations》 |2020年第2期|共15页
作者
Mahjouba Amina; Abdelkader Dellal; Juan J.Nieto; Abdelghani Ouahab;
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正文语种
中图分类微分方程、积分方程;
关键词
Weak solutionsSobolev spacescritical pointimpulsesvariational methodsfixed pointenergy functionalNash-type equilibrium.;

机译：弱解决方案索尔夫SpaceCteCityCleplyIppsuls variational Probersed Pointenergy Functionalnash型均衡。;

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专利

1. Existence and multiplicity of solutions for a second-order impulsive differential equation via variational methods [J] . Yaqi Wang, Zengqin Zhao Advances in Difference Equations . 2017,第1期

机译：一类二阶脉冲微分方程解的存在性和多重性
2. Existence results for systems of second-order impulsive differential equations [J] . J. R. Graef, H. Kadari, A. Ouahab, Acta Mathematica Universitatis Comenianae . 2019,第1期

机译：二阶脉冲微分方程系统的存在结果
3. Existence of Solution for Impulsive Differential Equations with Nonlinear Derivative Dependence via Variational Methods [J] . LizhaoYan, JianLiu, ZhiguoLuo Abstract and applied analysis . 2013,第6期

机译：非线性微分相关脉冲微分方程解的变分解存在性。
4. Variational method to the second-order impulsive partial differential equations with inconstant coefficients (I) [C] . Haichun Li International Workshop on Automobile, Power and Energy Engineering . 2013

机译：具有不稳定系数的二阶脉冲偏微分方程的变分方法（i）
5. A study of the existence of solutions to some inital value problems for impulsive differential equations. [D] . Brennan, Michael. 1995

机译：研究脉冲微分方程某些初值问题解的存在性。
6. Interval oscillation criteria for second-order forced impulsive delay differential equations with damping term [O] . Ethiraju Thandapani, Manju Kannan, Sandra Pinelas -1

机译：具有阻尼项的二阶强迫脉冲时滞微分方程的区间振动准则
7. Existence and multiplicity of solutions for a second-order impulsive differential equation via variational methods [O] . Yaqi Wang, Zengqin Zhao 2017

机译：一类二阶脉冲微分方程解的存在性和多重性

Existence Results for Systems of Second-Order Impulsive Differential Equations via Variational Method

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