Oscillatory and stability of a mixed type difference equation with variable coefficients
by Sandra Pinelas; Nedjem Eddine Ramdani; Ali Fuat Yeniçerioglu; Yubin Yan
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 11, No. 3/4, 2021

Abstract: The goal of this paper is to study the oscillatory and stability of the mixed type difference equation with variable coefficients ∆x(n) = ℓ ∑ i=1 p_i(n)x(τ_i(n)) + m ∑ j=1 q_j(n)x(σ_i(n)), n ≥ n₀, where τ_i(n) is the delay term and σ_j(n) is the advance term and they are positive real sequences for i = 1, . . . , l and j = 1, . . . , m, respectively, and p_i(n) and q_j(n) are real functions. This paper generalises some known results and the examples illustrate the results.

Online publication date: Wed, 01-Sep-2021

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