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Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 4

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

Youssef RAFFOUL
Paul ELOE
Jagan Mohan JONNALAGADDA
Sayfa
1988–1999
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The primary sufficient condition isnot verifiable in terms of the parameters of the difference equation, and so we provide three applications in which theprimary sufficient condition is verified.

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Amaç & Hipotez:In this article, we establish sufficient conditions for the existence of periodic solutions of a nonlinear infinitedelay Volterra difference equation: mathrm{Δx}(n)=p(n)+b(n)h(x(n))+sum_{mathrm k=-infty}^{mathrm n}B(n,k)g(x(k)).We employ a Krasnosel’skiĭ type fixed point theorem, originally proved by Burton.
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Temel Bulgular & Veri:In this article, we establish sufficient conditions for the existence of periodic solutions of a nonlinear infinitedelay Volterra difference equation: mathrm{Δx}(n)=p(n)+b(n)h(x(n))+sum_{mathrm k=-infty}^{mathrm n}B(n,k)g(x(k)).We employ a Krasnosel’skiĭ type fixed point theorem, originally proved by Burton.
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Sonuç & Katkı:The primary sufficient condition isnot verifiable in terms of the parameters of the difference equation, and so we provide three applications in which theprimary sufficient condition is verified.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this article, we establish sufficient conditions for the existence of periodic solutions of a nonlinear infinitedelay Volterra difference equation: mathrm{Δx}(n)=p(n)+b(n)h(x(n))+sum_{mathrm k=-infty}^{mathrm n}B(n,k)g(x(k)).We employ a Krasnosel’skiĭ type fixed point theorem, originally proved by Burton. The primary sufficient condition isnot verifiable in terms of the parameters of the difference equation, and so we provide three applications in which theprimary sufficient condition is verified.

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Bu Makaleye Atıf Yap

RAFFOUL, Y., ELOE, P., JONNALAGADDA, J. M. (2022). The large contraction principle and existence of periodic solutions for infinite delay Volterra difference equations. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1988–1999. https://ajindex.com/articles/607967

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Kaynakça (6)

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