Exponential dichotomy for systems of difference equations under perturbation of coefficients

DOI10.47475/2500-0101-2024-9-4-561-572MaRDI QIDQ6646087

A. A. Bondar', Gennadii Demidenko, Mardona Shavkat kizi Ganzhaeva

Publication date: 29 November 2024

Published in: (Search for Journal in Brave)

zbMATH Keywords

system of discrete Lyapunov equationsperturbation of coefficientsexponential dichotomy criterionsystem of difference equations with periodic coefficients

Mathematics Subject Classification ID

Stability theory for difference equations (39A30)

Cites Work

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• Exponential dichotomy of systems of linear difference equations with periodic coefficients
• On one class of systems of differential equations with periodic coefficients in linear terms
• Circular dichotomy of the matrix spectrum
• Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
• Accelerated convergence of the matrix sign function method of solving Lyapunov, Riccati and other matrix equations
• On the boundary conditions at a singular point for linear ordinary differential equations
• ON CONDITIONS FOR EXPONENTIAL DICHOTOMY FOR SYSTEMS OF DIFFERENCE EQUATIONS UNDER PERTURBATION OF COEFFICIENTS

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