On nonautonomous linear systems of differential and difference equations with \(R\)-symmetric coefficient matrices

DOI10.1016/j.laa.2009.07.004zbMath1179.34053OpenAlexW2059156224MaRDI QIDQ734923

William F. Trench

Publication date: 14 October 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.004

zbMATH Keywords

asymptotic behaviordifferential equationdifference equation\(k\)-involution\(R\)-symmetric

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Additive difference equations (39A10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

Circulant type matrices with the sum and product of Fibonacci and Lucas numbers ⋮ On the minimal polynomials and the inverses of multilevel scaled factor circulant matrices ⋮ On the limit cycles of the Floquet differential equation

Cites Work

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• Characterization and properties of matrices with \(k\)-involutory symmetries
• Properties of unilevel block circulants
• On \(t_{\infty}\) quasi-similarity of linear systems (*)
• Characterization and properties of matrices with generalized symmetry or skew symmetry.
• Invertibly convergent infinite products of matrices, with applications to difference equations
• Linear asymptotic equilibrium and uniform, exponential, and strict stability of linear difference systems
• Eigenvectors of certain matrices
• Extensions of a Theorem of Wintner on Systems With Asymptotically Constant Solutions
• Roots and Canonical Forms for Circulant Matrices
• On a Theorem of Bocher in the Theory of Ordinary Linear Differential Equations

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