Stability Criterion for Volterra Type Delay Difference Equations Including a Generalized Difference Operator

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2020-01-01 DOI:10.5666/KMJ.2020.60.1.163

Murat Gevgeşoğlu, Y. Bolat

引用次数: 0

Abstract

Difference equations are the discrete analogues of differential equations and they usually describe certain phenomena over the course of time. Difference equations have many applications in a wide variety of disciplines, such as economics, mathematical biology, social sciences and physics. We refer to [1, 2, 4, 6] for the basic theory and some applications of difference equations. Volterra difference equations are extensively used to model phenomena in engineering, economics, and in the natural and social sciences; their stability has been studied by many authors. In [5], Khandaker and Raffoul considered a Volterra discrete system with nonlinear perturbation

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包含广义差分算子的Volterra型时滞差分方程的稳定性判据

差分方程是微分方程的离散类似物，它们通常描述一段时间内的某些现象。差分方程在许多学科中都有广泛的应用，如经济学、数学生物学、社会科学和物理学。关于差分方程的基本理论和一些应用，我们参考[1,2,4,6]。沃尔泰拉差分方程被广泛用于模拟工程、经济学、自然科学和社会科学中的现象;许多作者对它们的稳定性进行了研究。在2010年，Khandaker和Raffoul考虑了一个具有非线性扰动的Volterra离散系统

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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.