On solutions of neutral nonlocal evolution equations with nondense domain

Xianlong Fu

doi:10.1016/j.jmaa.2004.02.062

On solutions of neutral nonlocal evolution equations with nondense domain

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

27 引用（Scopus）

摘要

In this paper, with Sadovskii's and Banach's fixed point theorems applied, we establish some results on the existence of integral solutions, strong solutions, and strict solutions for a class of nondensely defined neutral evolution equations with nonlocal conditions. Also, an example is given in the end to show the applications of the obtained results.

源语言	英语
页（从-至）	392-410
页数	19
期刊	Journal of Mathematical Analysis and Applications
卷	299
期	2
DOI	https://doi.org/10.1016/j.jmaa.2004.02.062
出版状态	已出版 - 15 11月 2004

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10.1016/j.jmaa.2004.02.062

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title = "On solutions of neutral nonlocal evolution equations with nondense domain",

abstract = "In this paper, with Sadovskii's and Banach's fixed point theorems applied, we establish some results on the existence of integral solutions, strong solutions, and strict solutions for a class of nondensely defined neutral evolution equations with nonlocal conditions. Also, an example is given in the end to show the applications of the obtained results.",

keywords = "Existence of solutions, Hille-Yosida condition, Integrated semigroups, Nonlocal Cauchy problem",

author = "Xianlong Fu",

year = "2004",

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day = "15",

doi = "10.1016/j.jmaa.2004.02.062",

language = "英语",

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journal = "Journal of Mathematical Analysis and Applications",

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TY - JOUR

T1 - On solutions of neutral nonlocal evolution equations with nondense domain

AU - Fu, Xianlong

PY - 2004/11/15

Y1 - 2004/11/15

N2 - In this paper, with Sadovskii's and Banach's fixed point theorems applied, we establish some results on the existence of integral solutions, strong solutions, and strict solutions for a class of nondensely defined neutral evolution equations with nonlocal conditions. Also, an example is given in the end to show the applications of the obtained results.

AB - In this paper, with Sadovskii's and Banach's fixed point theorems applied, we establish some results on the existence of integral solutions, strong solutions, and strict solutions for a class of nondensely defined neutral evolution equations with nonlocal conditions. Also, an example is given in the end to show the applications of the obtained results.

KW - Existence of solutions

KW - Hille-Yosida condition

KW - Integrated semigroups

KW - Nonlocal Cauchy problem

UR - https://www.scopus.com/pages/publications/7244238166

U2 - 10.1016/j.jmaa.2004.02.062

DO - 10.1016/j.jmaa.2004.02.062

M3 - 文章

AN - SCOPUS:7244238166

SN - 0022-247X

VL - 299

SP - 392

EP - 410

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

On solutions of neutral nonlocal evolution equations with nondense domain

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