Asymptotic summation of perturbed linear difference systems in critical case

DOI10.1080/10236198.2019.1662412zbMath1434.39003OpenAlexW2972255394WikidataQ127319867 ScholiaQ127319867MaRDI QIDQ5240631

Pavel Nesterov

Publication date: 29 October 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2019.1662412

zbMATH Keywords

method of averagingasymptotic behaviourcenter manifolddiscrete delay equationoscillatory decreasing functions

Mathematics Subject Classification ID

Additive difference equations (39A10) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items (1)

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

Cites Work

• Asymptotic integration of a certain second-order linear delay differential equation
• A final result on the oscillation of solutions of the linear discrete delayed equation \({\Delta}x(n) = -p(n)x(n - k)\) with a positive coefficient
• Remark on positive solutions of discrete equation \(\Delta u(k+n)=-p(k)u(k)\)
• Applications of centre manifold theory
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Theory of functional differential equations. 2nd ed
• Stability criteria for linear delay differential equations
• On some extension of center manifold method to functional differential equations with oscillatory decreasing coefficients and variable delays
• Asymptotic formulae for the solutions of a linear delay difference equation
• Asymptotic integration of differential and difference equations
• The asymptotic nature of solutions of linear systems of differential equations
• Asymptotic integration of functional differential systems with oscillatory decreasing coefficients: a center manifold approach
• 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 formulas for a scalar linear delay differential equation
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