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Weighted Averaging Techniques in Oscillation Theory for Second Order Difference Equations

Canadian Mathematical Bulletin, 1992
AbstractWe consider the self-adjoint second-order scalar difference equation (1) Δ(rnΔxn) +pnXn+1 = 0 and the matrix system (2) Δ(RnΔXn) + PnXn+1 = 0, where are seQuences of real numbers (d x d Hermitian matrices) with rn > 0(Rn > 0). The oscillation and nonoscillation criteria for solutions of (1) and (2), obtained in [3, 4, 10], are extended ...
Erbe, Lynn H., Yan, Pengxiang
openaire   +1 more source

Linearized Oscillation Theory for a Nonlinear Nonautonomous Difference Equation

2020
We review some theorems and mistakes in linearized oscillation results for difference equations with variable coefficients and constant delays, as well as develop linearized oscillation theory when delays are also variable. Main statements are applied to discrete models of population dynamics.
Berezansky, Leonid, KARPUZ, BAŞAK
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Oscillation of linear and half-linear difference equations via modified Riccati transformation

Journal of Mathematical Analysis and Applications, 2023
Jiřina Šišoláková
exaly  

Oscillation and non-oscillation criteria for linear and half-linear difference equations

Journal of Mathematical Analysis and Applications, 2017
Petr Hasil, Michal Veselý
exaly  

On oscillation of differential and difference equations with non-monotone delays

Applied Mathematics and Computation, 2011
Elena Braverman, Başak Karpuz
exaly  

Oscillation criteria for delay and difference equations with non-monotone arguments

Applied Mathematics and Computation, 2014
Ioannis P Stavroulakis
exaly  

Oscillation and comparison theorems for half-linear second-order difference equations

Computers and Mathematics With Applications, 2001
Thandapani
exaly  

Oscillation and nonoscillation for second-order linear difference equations

Computers and Mathematics With Applications, 2000
Yong Zhou
exaly  

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