A new continuous dependence result for impulsive retarded functional differential equations

Title:

A new continuous dependence result for impulsive retarded functional differential equations

Creator:

Federson, Márcia and Mesquita, Jaqueline Godoy

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a8902f0a-6ad1-4813-b105-640036208d70
uuid:a8902f0a-6ad1-4813-b105-640036208d70
issn:0011-4642

Subject:

matematika, diferenciální rovnice, mathematics, differential equations, retarded functional differential equation, impulse local existenc, impulse local existence uniqueness, continuous dependence on parameters, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We consider a large class of impulsive retarded functional differential equations (IRFDEs) and prove a result concerning uniqueness of solutions of impulsive FDEs. Also, we present a new result on continuous dependence of solutions on parameters for this class of equations. More precisely, we consider a sequence of initial value problems for impulsive RFDEs in the above setting, with convergent right-hand sides, convergent impulse operators and uniformly convergent initial data. We assume that the limiting equation is an impulsive RFDE whose initial condition is the uniform limit of the sequence of the initial data and whose solution exists and is unique. Then, for sufficient large indexes, the elements of the sequence of impulsive retarded initial value problem admit a unique solution and such a sequence of solutions converges to the solution of the limiting Cauchy problem., Márcia Federson, Jaqueline Godoy Mesquita., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1-12

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:1

Harvested from:

CDK

Metadata only:

false