Existence of solutions for neutral functional differential evolution equations with nonlocal conditions

Xianlong Fu; Khalil Ezzinbi

doi:10.1016/S0362-546X(03)00047-6

Existence of solutions for neutral functional differential evolution equations with nonlocal conditions

Xianlong Fu^*
, Khalil Ezzinbi

^*Corresponding author for this work

School of Mathematical Sciences

Cadi Ayyad University

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

123 Scopus citations

Abstract

The existence of mild and strong solutions of semilinear neutral functional differential evolution equations with nonlocal conditions was studied. The fractional power of operators and Sadovskii's fixed point theorem was used for this purpose. An example was presented to show the application of the results.

Original language	English
Pages (from-to)	215-227
Number of pages	13
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	54
Issue number	2
DOIs	https://doi.org/10.1016/S0362-546X(03)00047-6
State	Published - Jul 2003

Keywords

Existence of solutions
Nonlocal Cauchy problem
Operator semigroup
Sadovskii's fixed point theorem
Semilinear neutral functional evolution equation

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10.1016/S0362-546X(03)00047-6

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title = "Existence of solutions for neutral functional differential evolution equations with nonlocal conditions",

abstract = "The existence of mild and strong solutions of semilinear neutral functional differential evolution equations with nonlocal conditions was studied. The fractional power of operators and Sadovskii's fixed point theorem was used for this purpose. An example was presented to show the application of the results.",

keywords = "Existence of solutions, Nonlocal Cauchy problem, Operator semigroup, Sadovskii's fixed point theorem, Semilinear neutral functional evolution equation",

author = "Xianlong Fu and Khalil Ezzinbi",

year = "2003",

month = jul,

doi = "10.1016/S0362-546X(03)00047-6",

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journal = "Nonlinear Analysis, Theory, Methods and Applications",

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T1 - Existence of solutions for neutral functional differential evolution equations with nonlocal conditions

AU - Fu, Xianlong

AU - Ezzinbi, Khalil

PY - 2003/7

Y1 - 2003/7

N2 - The existence of mild and strong solutions of semilinear neutral functional differential evolution equations with nonlocal conditions was studied. The fractional power of operators and Sadovskii's fixed point theorem was used for this purpose. An example was presented to show the application of the results.

AB - The existence of mild and strong solutions of semilinear neutral functional differential evolution equations with nonlocal conditions was studied. The fractional power of operators and Sadovskii's fixed point theorem was used for this purpose. An example was presented to show the application of the results.

KW - Existence of solutions

KW - Nonlocal Cauchy problem

KW - Operator semigroup

KW - Sadovskii's fixed point theorem

KW - Semilinear neutral functional evolution equation

UR - https://www.scopus.com/pages/publications/0038137295

U2 - 10.1016/S0362-546X(03)00047-6

DO - 10.1016/S0362-546X(03)00047-6

M3 - 文章

AN - SCOPUS:0038137295

SN - 0362-546X

VL - 54

SP - 215

EP - 227

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 2

ER -

Existence of solutions for neutral functional differential evolution equations with nonlocal conditions

Abstract

Keywords

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