Existence and regularity of solutions to non-autonomous functional evolution equations with infinite delay

Xianlong Fu

Existence and regularity of solutions to non-autonomous functional evolution equations with infinite delay

Xianlong Fu^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper, by using Sadovskii fixed point theorem, we study the existence and regularity of mild solutions for a class of abstract neutral functional evolution equations with infinite delay, where the linear part is non-autonomous and generates a linear evolution system. The fraction power theory and α-norm is used to discuss the problem so that the obtained results can be applied the equations which involve spatial derivatives. An example is presented to show the applications of the obtained results.

源语言	英语
页（从-至）	691-706
页数	16
期刊	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
卷	17
期	5
出版状态	已出版 - 2010

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title = "Existence and regularity of solutions to non-autonomous functional evolution equations with infinite delay",

abstract = "In this paper, by using Sadovskii fixed point theorem, we study the existence and regularity of mild solutions for a class of abstract neutral functional evolution equations with infinite delay, where the linear part is non-autonomous and generates a linear evolution system. The fraction power theory and α-norm is used to discuss the problem so that the obtained results can be applied the equations which involve spatial derivatives. An example is presented to show the applications of the obtained results.",

keywords = "Fractional power operator, Infinite delay, Linear evolution operator, Neutral functional evolution equation",

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T1 - Existence and regularity of solutions to non-autonomous functional evolution equations with infinite delay

AU - Fu, Xianlong

PY - 2010

Y1 - 2010

N2 - In this paper, by using Sadovskii fixed point theorem, we study the existence and regularity of mild solutions for a class of abstract neutral functional evolution equations with infinite delay, where the linear part is non-autonomous and generates a linear evolution system. The fraction power theory and α-norm is used to discuss the problem so that the obtained results can be applied the equations which involve spatial derivatives. An example is presented to show the applications of the obtained results.

AB - In this paper, by using Sadovskii fixed point theorem, we study the existence and regularity of mild solutions for a class of abstract neutral functional evolution equations with infinite delay, where the linear part is non-autonomous and generates a linear evolution system. The fraction power theory and α-norm is used to discuss the problem so that the obtained results can be applied the equations which involve spatial derivatives. An example is presented to show the applications of the obtained results.

KW - Fractional power operator

KW - Infinite delay

KW - Linear evolution operator

KW - Neutral functional evolution equation

UR - https://www.scopus.com/pages/publications/78649256305

M3 - 文章

AN - SCOPUS:78649256305

SN - 1201-3390

VL - 17

SP - 691

EP - 706

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 5

ER -

Existence and regularity of solutions to non-autonomous functional evolution equations with infinite delay

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