On the dynamics of certain higher-order scalar difference equation: asymptotics, oscillation, stability

DOI10.3906/mat-1912-89zbMath1496.39007OpenAlexW3088961704MaRDI QIDQ5099745

Pavel Nesterov

Publication date: 26 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1912-89

zbMATH Keywords

asymptoticsoscillationmethod of averagingcenter manifolddiscrete delay equation

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30) Oscillation theory for difference equations (39A21)

Cites Work

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• Asymptotic integration of differential and difference equations
• The asymptotic nature of solutions of linear systems of differential equations
• Asymptotic behaviour of solutions of the difference Schrödinger equation
• Existence of positive solutions of discrete linear equations with a single delay
• Asymptotic Representation of Solutions of Perturbed Systems of Linear Difference Equations
• Asymptotic summation of perturbed linear difference systems in critical case

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