The large contraction principle and existence of periodic solutions for infinite delay Volterra difference equations

Paul ELOE; Jaganmohan JONNALAGADDA; Youssef RAFFOUL

Article Details

The large contraction principle and existence of periodic solutions for infinite delay Volterra difference equations

Authors:

Paul ELOE | Jaganmohan JONNALAGADDA | Youssef RAFFOUL

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2019 Vol.43 Issue 4, pp.1988-1999

Document Type:

Article

Publication Date:

7/2019

Document Language:

English

Document ID (Org No.):

2000745574

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Abstract:

 

In this article, we establish sufficient conditions for the existence of periodic solutions of a nonlinear infinite delay Volterra difference equation: Δx(n)=p(n)+b(n)h(x(n))+n∑k=−∞B(n,k)g(x(k)).Δx(n)=p(n)+b(n)h(x(n))+∑k=−∞nB(n,k)g(x(k)).\Delta x(n) = p(n) + b(n)h(x(n)) + \sum^{n}_{k = -\infty}B(n, k)g(x(k)).  We employ a Krasnosel'ski\u{i} type fixed point theorem, originally proved by Burton.  The primary sufficient condition is not verifiable in terms of the parameters of the difference equation, and so we provide three applications in which the primary sufficient condition is verified.

Article Details

The large contraction principle and existence of periodic solutions for infinite delay Volterra difference equations

Authors: Paul ELOE | Jaganmohan JONNALAGADDA | Youssef RAFFOUL

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2019 Vol.43 Issue 4, pp.1988-1999

Document Type: Article

Publication Date: 7/2019

Document Language: English

Document ID (Org No.): 2000745574

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Issues

Authors:

Paul ELOE | Jaganmohan JONNALAGADDA | Youssef RAFFOUL

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2019 Vol.43 Issue 4, pp.1988-1999

Document Type:

Article

Publication Date:

7/2019

Document Language:

English

Document ID (Org No.):

2000745574

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098