The exponential dichotomy of solutions to systems of linear difference equations with almost periodic coefficients

DOI10.3103/S1066369X10100051zbMath1208.39002MaRDI QIDQ619498

L. V. Bel'gart, R. K. Romanovskii

Publication date: 25 January 2011

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

exponential dichotomyalmost periodic coefficientssystems of linear difference equationsindefinite Hermitian formshell of an almost periodic matrix

Mathematics Subject Classification ID

Linear difference equations (39A06) Almost periodic solutions of difference equations (39A24)

Related Items (5)

Limit periodic perturbations of difference systems with coefficients from commutative groups ⋮ Limit periodic homogeneous linear difference systems ⋮ Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups ⋮ Almost periodic transformable difference systems ⋮ Dichotomy of solutions of functional-differential equations in the Sobolev space

Cites Work

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• On stability of solutions to nonlinear almost periodic systems of difference equations
• The method of Lyapunov functions for systems of linear difference equations with almost periodic coefficients
• The stability of solutions of nonlinear almost periodic systems of delay functional-differential equations
• Stability of solutions of almost periodic functional differential systems of neutral type
• On the stability of linear stochastic finite-difference systems with almost-periodic coefficients
• The method of Lyapunov functionals for linear difference-differential systems with almost-periodic coefficients

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