EXISTENCE AND STABILITY FOR SOME PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Rachid Benkhalti; Khalil Ezzinbi

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EXISTENCE AND STABILITY FOR SOME PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

机译：某些中立型泛函微分方程的存在性和稳定性

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In this work we study the existence and stability for some neutral partial functional differential equations. We suppose that the linear part is not necessarily densely denned and satisfies the Hille-Yoaida condition on a Banach space X. The nonlinear term takes its values in a space larger than X, namely the extrapolated Favard class corresponding to the extrapolated semigroup corresponding to the linear part. Our approach is based on the theory of the extrapolation spaces.

机译：在这项工作中，我们研究了一些中立型偏泛函微分方程的存在性和稳定性。我们假设线性部分不一定是密集稠密的，并且满足Banach空间X上的Hille-Yoaida条件。非线性项在大于X的空间中采用其值，即对应于外推半群的外推Favard类。线性部分。我们的方法基于外推空间的理论。

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《Differential and integral equations》 |2004年第12期|共14页
作者
Rachid Benkhalti; Khalil Ezzinbi;
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正文语种 eng
中图分类微分方程、积分方程;
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1. Existence and stability of solutions for a class of partial neutral functional differential equations [J] . Mostafa ADIMY, Khalil EZZINBI Hiroshima mathematical journal . 2004,第3期

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2. Existence and stability for some partial neutral functional differential equations with infinite delay [J] . Adimy M, Bouzahir H, Ezzinbi K Journal of Mathematical Analysis and Applications . 2004,第2期

机译：具无限时滞的某些中立型泛函微分方程的存在性和稳定性。
3. Existence and exponential stability of a class of impulsive neutral stochastic partial differential equations with delays and Poisson jumps [J] . Chen Guiling, van Gaans Onno, Lunel Sjoerd Verduyn Statistics & Probability Letters . 2018,第期

机译：一类冲动中性随机偏微分方程的存在与指数稳定性延迟和泊松跳跃
4. Existence, uniqueness and stability of stochastic neutral functional differential equations of Sobolev-type [C] . Zhu Quanxin, Yang Xuetao Chinese Control Conference . 2015

机译：Sobolev型随机中立型泛函微分方程的存在性，唯一性和稳定性
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. Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion [O] . Xinwen Zhang, Dehao Ruan -1

机译：由布朗运动和分数布朗运动驱动的中立型随机泛函偏微分方程的指数稳定性。
7. Existence and stability for some partial neutral functional differential equations with infinite delay [O] . Adimy Mostafa, Bouzahir Hassane, Ezzinbi Khalil 2004

机译：具无限时滞的某些中立型泛函微分方程的存在性和稳定性。

EXISTENCE AND STABILITY FOR SOME PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

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