Oscillatory and stability of a mixed type difference equation with variable coefficients. (12th August 2021)

• Record Type: Journal Article
• Authors: Pinelas, Sandra; Ramdani, Nedjem Eddine; Yeniçerioglu, Ali Fuat; Yan, Yubin
• Is Part Of: International journal of dynamical systems and differential equations. Volume 11:Number 3/4(2021)
• Page Start: 391
• Page End: 421
• Publication Date: 2021-08-12
• Subjects: mixed type difference equation -- asymptotic behaviour -- stability -- characteristic equation -- oscillatory solutions -- solution -- numerical solutions -- variable coefficients; Differential equations -- Periodicals; 515.35
• Languages: English
• ISSNs: 1752-3583

Abstract

The goal of this paper is to study the oscillatory and stability of the mixed type difference equation with variable coefficientsΔ x ( n ) = ∑ i = 1 l p i ( n ) x ( τ i ( n ) ) + ∑ j = 1 m q j ( n ) x ( σ i ( n ) ), n ≥ n 0, where τi (n) is the delay term and σj (n) is the advance term and they are positive real sequences for i = 1, . . ., l and j = 1, . . ., m, respectively, and pi (n) and qj (n) are real functions. This paper generalises some known results and the examples illustrate the results.