Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay

Hernandez Eduardo; Wu Jianhong; Fernandes Denis

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Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay

机译：具有国家依赖延迟的抽象中性微分方程解决方案的存在唯一性

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摘要

We study the existence and uniqueness of mild and strict solutions for abstract neutral differential equations with state-dependent delay. Some examples related to partial neutral differential equations are presented.

机译：我们研究了具有国家依赖延迟的抽象中性微分方程的温和和严格解决方案的存在性和唯一性。提出了与部分中性微分方程相关的一些例子。

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来源
《Applied mathematics and optimization》 |2020年第1期|共23页
作者
Hernandez Eduardo; Wu Jianhong; Fernandes Denis;
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作者单位

Univ Sao Paulo Dept Comp &

Matemat Fac Filosofia Ciencias &

Letras Ribeirao Preto BR-14040901 Ribeirao Preto SP Brazil;

York Univ Dept Math &

Stat Toronto ON M3J 1P3 Canada;

Univ Estadual Paulista Dept Matemat Inst Biociencias Letras &

Ciencias Exatas BR-15054000 Sao Jose Do Rio Preto SP Brazil;

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原文格式 PDF
正文语种 eng
中图分类最优化的数学理论;
关键词
State dependent delay; Mild solutions; Strict solutions; Analytic semigroup;

机译：国家依赖延迟;轻度解决方案;严格的解决方案;分析半群;

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专利

1. Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay [J] . Hernandez Eduardo, Wu Jianhong, Fernandes Denis Applied mathematics and optimization . 2020,第1期

机译：具有国家依赖延迟的抽象中性微分方程解决方案的存在唯一性
2. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR SOME NEUTRAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAYS [J] . KHELIFA DAOUDI, JOHNNY HENDERSON, ABDELGHNAI OUAHAB Communications in Applied Analysis . 2018,第3期

机译：具状态依赖时滞的某些中立型微分方程解的存在性和唯一性
3. The Existence and Uniqueness of the Solution for Neutral Stochastic Functional Differential Equations with Infinite Delay in Abstract Space [J] . Xu Y, Hu SG Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2010,第2期

机译：抽象空间中无穷时滞中立型随机泛函微分方程解的存在唯一性
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. Existence Results for Some Higher-Order Abstract Differential Equations with Applications to Partial Differential Equations (PDEs). [D] . Nelson, Valerie N. 2013

机译：一些高阶抽象微分方程的存在性结果及其在偏微分方程（PDE）中的应用。
6. Existence and Uniqueness of Solution for a Class of Stochastic Differential Equations [O] . Junfei Cao, Zaitang Huang, Caibin Zeng 2013

机译：一类随机微分方程解的存在唯一性
7. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR SOME NEUTRAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAYS [O] . KHELIFA DAOUDI, JOHNNY HENDERSON, ABDELGHNAI OUAHAB 2018

机译：具有国家依赖延迟的一些中立微分方程解决方案的存在性和唯一性

Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay

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