Existence of solutions and periodic solutions for abstract neutral equations with unbounded delay

Xianlong Fu

Existence of solutions and periodic solutions for abstract neutral equations with unbounded delay

Xianlong Fu^*

^*Corresponding author for this work

School of Mathematical Sciences

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

4 Scopus citations

Abstract

In this paper, by using Sadovskii fixed point theorem, we study the existence of solutions and periodic solutions for a class of abstract neutral impulsive functional evolution equations with unbounded delay. An example is presented in the end to show the applications of the obtained results.

Original language	English
Pages (from-to)	17-35
Number of pages	19
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	15
Issue number	1
State	Published - Feb 2008

Keywords

Fixed point theorem
Functional evolution equations
Linear evolution operator
Measure of non-compactness
Unbounded delay

Cite this

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title = "Existence of solutions and periodic solutions for abstract neutral equations with unbounded delay",

abstract = "In this paper, by using Sadovskii fixed point theorem, we study the existence of solutions and periodic solutions for a class of abstract neutral impulsive functional evolution equations with unbounded delay. An example is presented in the end to show the applications of the obtained results.",

keywords = "Fixed point theorem, Functional evolution equations, Linear evolution operator, Measure of non-compactness, Unbounded delay",

author = "Xianlong Fu",

year = "2008",

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KW - Fixed point theorem

KW - Functional evolution equations

KW - Linear evolution operator

KW - Measure of non-compactness

KW - Unbounded delay

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SN - 1201-3390

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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 - 1

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Existence of solutions and periodic solutions for abstract neutral equations with unbounded delay

Abstract

Keywords

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