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^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

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.

Original language	English
Pages (from-to)	392-410
Number of pages	19
Journal	Journal of Mathematical Analysis and Applications
Volume	299
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2004.02.062
State	Published - 15 Nov 2004

Keywords

Existence of solutions
Hille-Yosida condition
Integrated semigroups
Nonlocal Cauchy problem

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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",

month = nov,

day = "15",

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

language = "英语",

volume = "299",

pages = "392--410",

journal = "Journal of Mathematical Analysis and Applications",

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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

Abstract

Keywords

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