Existence results for impulsive neutral differential and integrodifferential equations with nonlocal conditions via fractional operators
type: Item
instance of: scholarly article
title: Existence results for impulsive neutral differential and integrodifferential equations with nonlocal conditions via fractional operators
zbMATH Open document ID: 1200.34095
published in: Nonlinear Analysis. Hybrid Systems
publication date: 2010-01-08T00:00:00Z
review text: The authors consider a class of first order impulsive neutral differential equations as well as a class of first order impulsive neutral integrodifferential equations, both governed by nonlinear perturbations of a densely defined and closed linear operator generating an analytic compact semigroup, and subjected to nonlocal initial conditions. By imposing some technical conditions on the data and using Sadovskii's fixed point theorem, they prove some existence results which cover the case when the nonlinear part is defined on a fractional power of the linear part. An illustrative example is included.
reviewed by: Ioan I. Vrabie
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5655208
zbMATH Keywords: impulsive differential equations
zbMATH Keywords: nonlocal initial conditions
author: Yong Kui Chang
author: V. Kavitha
author: M. Mallika Arjunan
MaRDI profile type: Publication
full work available at URL: j.nahs.2009.07.004
OpenAlex ID: W2034428494
cites work: Q3445966
cites work: Q3995625
cites work: Q4853771
cites work: Impulsive partial neutral differential equations
cites work: Existence of solutions for impulsive partial neutral functional differential equations
cites work: Q3835859
cites work: Q4338976
cites work: Nonlinear impulse evolution systems and applications to population models
cites work: Existence of solutions for a class of neutral partial differential equations with nonlocal conditions in the \(\alpha \)-norm
cites work: Existence for impulsive neutral integrodifferential inclusions with nonlocal initial conditions via fractional operators
cites work: Existence of Solutions for Impulsive Neutral Integro-Differential Inclusions with Nonlocal Initial Conditions via Fractional Operators
cites work: Existence and regularity in the \(\alpha\)-norm for some neutral partial differential equations with nonlocal conditions
cites work: Existence of solutions for neutral functional differential evolution equations with nonlocal conditions.
cites work: Existence for neutral impulsive differential inclusions with nonlocal conditions
cites work: Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
cites work: Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
cites work: Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
cites work: Impulsive functional-differential equations with nonlocal conditions
cites work: Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions
cites work: Existence results for non-densely defined neutral impulsive differential inclusions with nonlocal conditions
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Q5551837
cites work: Existence, Stability, and Compactness in the α-Norm for Partial Functional Differential Equations
cites work: Q5620934
DOI: 10.1016/J.NAHS.2009.07.004
description: scientific article; zbMATH DE number 5655208