논문KCI 등재
Stability Criterion for Volterra Type Delay Difference Equations Including a Generalized Difference Operator
경북대학교 자연과학대학 수학과|2020.03|Kyungpook Mathematical Journal|제60권 제1호|pp. 163-175|DOI 10.5666/KMJ.2020.60.1.163
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The stability of a class of Volterra-type difference equations that include a generalized difference operator ∆_a is investigated using Krasnoselskii’s fixed point theorem and some results are obtained. In addition, some examples are given to illustrate our theoretical results.
Abstract
The stability of a class of Volterra-type difference equations that include a generalized difference operator ∆_a is investigated using Krasnoselskii’s fixed point theorem and some results are obtained. In addition, some examples are given to illustrate our theoretical results.
참고문헌 (9)
- R. P. Agarwal, "Difference equations and inequalities: theory, methods and applications" (2000), Marcel Dekker, Inc.
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- M. N. Islam, "Boundedness and stability in nonlinear delay difference equations employing fixed point theory", Electron. J. Qual. Theory Differ. Equ., 26, pp.18~ (2005)
- W. G. Kelley, "Difference equations: an introduction with applications" (1991), Academic Press
- T. M. Khandaker, "Stability properties of linear Volterra discrete systems with nonlinear perturbation", J. Difference Equ. Appl, 8, pp.857~874 (2002)
- R. E. Mickens, "Difference equations: theory and applications" (1991), Chapman and Hall
- M. Migda, "Boundedness and stability of discrete Volterra equations", Adv. Difference Equ., 47, pp.11~ (2015)
- D. R. Smart, "Fixed point theorems" (1980), Cambridge University Press
- E. Yankson, "Stability of Volterra difference delay equations", Electron. J. Qual. Theory Differ. Equ., 20, pp.14~ (2006)
관련 논문AI추천
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