Existence of solutions for neutral non-autonomous evolution equations with nonlocal conditions

Xianlong Fu; Xlngbo Liu

Existence of solutions for neutral non-autonomous evolution equations with nonlocal conditions

Xianlong Fu^*
, Xlngbo Liu

^*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

3 引用（Scopus）

摘要

In this paper, by using Sadovskii fixed point theorem, we study the existence of mild solutions and solutions of semilinear neutral functional differential evolution equations with nonlocal conditions. The results we obtained are generalization and continuation of the recent results on this issue. In the end, two examples are given to show the applications of our results.

源语言	英语
页（从-至）	179-192
页数	14
期刊	Indian Journal of Pure and Applied Mathematics
卷	37
期	3
出版状态	已出版 - 6月 2006

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title = "Existence of solutions for neutral non-autonomous evolution equations with nonlocal conditions",

abstract = "In this paper, by using Sadovskii fixed point theorem, we study the existence of mild solutions and solutions of semilinear neutral functional differential evolution equations with nonlocal conditions. The results we obtained are generalization and continuation of the recent results on this issue. In the end, two examples are given to show the applications of our results.",

keywords = "Existence of solutions, neutral evolution equation, Linear evolution system, Nonlocal cauchy problem, Sadovskii fixed point theorem",

author = "Xianlong Fu and Xlngbo Liu",

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T1 - Existence of solutions for neutral non-autonomous evolution equations with nonlocal conditions

AU - Fu, Xianlong

AU - Liu, Xlngbo

PY - 2006/6

Y1 - 2006/6

N2 - In this paper, by using Sadovskii fixed point theorem, we study the existence of mild solutions and solutions of semilinear neutral functional differential evolution equations with nonlocal conditions. The results we obtained are generalization and continuation of the recent results on this issue. In the end, two examples are given to show the applications of our results.

AB - In this paper, by using Sadovskii fixed point theorem, we study the existence of mild solutions and solutions of semilinear neutral functional differential evolution equations with nonlocal conditions. The results we obtained are generalization and continuation of the recent results on this issue. In the end, two examples are given to show the applications of our results.

KW - Existence of solutions, neutral evolution equation

KW - Linear evolution system

KW - Nonlocal cauchy problem

KW - Sadovskii fixed point theorem

UR - https://www.scopus.com/pages/publications/33846653156

M3 - 文章

AN - SCOPUS:33846653156

SN - 0019-5588

VL - 37

SP - 179

EP - 192

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

IS - 3

ER -

Existence of solutions for neutral non-autonomous evolution equations with nonlocal conditions

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