Global Existence Results for Neutral Functional Differential Equations with State-Dependent Delay

Mouffak Benchohra; Imene Medjadj

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Global Existence Results for Neutral Functional Differential Equations with State-Dependent Delay

机译：具有状态依赖时滞的中立型泛函微分方程的整体存在性结果

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摘要

Our aim in this work is to study the existence of solutions of a neutral functional differential equation with state-dependent delay. We use the Schauder's fixed point theorem to show the existence of global solutions.

机译：我们在这项工作中的目的是研究存在状态依赖时滞的中立型泛函微分方程解的存在性。我们使用Schauder的不动点定理来证明整体解的存在。

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来源
《Differential equations and dynamical systems》 |2016年第2期|共12页
作者
Mouffak Benchohra; Imene Medjadj;
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正文语种 eng
中图分类数学;
关键词
Neutral functional differential equation; Mild solution; Infinite delay; State-dependent delay; Fixed point; Semigroup theory;

机译：中立型泛函微分方程温和解无限时滞状态依赖时滞不动点半群理论;

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专利

1. Global Existence Results for Neutral Functional Differential Equations with State-Dependent Delay [J] . Mouffak Benchohra, Imene Medjadj Differential equations and dynamical systems . 2016,第2期

机译：具有状态依赖时滞的中立型泛函微分方程的整体存在性结果
2. Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay [J] . Benchohra Mouffak, Bennihi Omar, Ezzinbi Khalil Cubo : A Mathematical Journal . 2014,第3期

机译：具状态依赖时滞的分数阶中立型偏泛函微分方程的存在性结果
3. Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay [J] . Abdessalam Baliki, Mouffak Benchohra Nonautonomous Dynamical Systems . 2014,第1期

机译：具有状态依赖时滞的中立型功能演化方程的整体存在性和稳定性
4. Identification of Parameters in Neutral Functional Differential Equations with State-Dependent Delays [C] . Ferenc Hartung, Janos Turi, The Institute of Electrical and Electronics EngineersInc. IEEE Conference on Decision and Control . 2005

机译：具有状态依赖延迟中性功能微分方程参数的识别
5. Differential equations with state-dependent delay: Global Hopf bifurcation and smoothness dependence on parameters. [D] . Hu, Qingwen. 2008

机译：具有状态相关延迟的微分方程：全局Hopf分叉和平滑度对参数的依赖。
6. Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales [O] . Bing Li, Yongkun Li, Xuemei Zhang -1

机译：时标上n维中立型动力方程周期解的存在性和全局指数稳定性
7. Existence results for impulsive neutral functional differential equations with state-dependent delay [O] . Arjunan M.M., Kavitha V. 2009

机译：具有状态依赖时滞的脉冲中立型泛函微分方程的存在性结果
8. Estimation of Time- and State-Dependent Delays and Other Parameters in Functional Differential Equations [R] . Murphy, K. A. 1988

机译：泛函微分方程中时间和状态依赖时滞及其他参数的估计

Global Existence Results for Neutral Functional Differential Equations with State-Dependent Delay

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