Floquet theory for second order linear homogeneous difference equations

DOI10.1080/10236198.2015.1100609zbMath1358.39002arXiv1510.00410OpenAlexW2191851084MaRDI QIDQ3185987

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Publication date: 8 August 2016

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

Full work available at URL: https://arxiv.org/abs/1510.00410

zbMATH Keywords

Chebyshev polynomialsFloquet theoryperiodic sequencessecond-order linear difference equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Periodic solutions of difference equations (39A23) Linear difference equations (39A06)

Related Items (5)

Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients ⋮ Explicit inverse of nonsingular Jacobi matrices ⋮ Explicit inverse of a tridiagonal \((p, r)\)-Toeplitz matrix ⋮ Second order linear difference equations ⋮ Boundary value problems for second order linear difference equations: application to the computation of the inverse of generalized Jacobi matrices

Cites Work

• Unnamed Item
• Spectral properties of certain tridiagonal matrices
• Analytical inversion of general periodic tridiagonal matrices
• On the solution of a second order linear homogeneous difference equation with variable coefficients
• Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix
• Eigenvalues, eigenfunctions and Green's functions on a path via Chebyshev polynomials
• Fibonacci, Chebyshev, and Orthogonal Polynomials
• The inverse of a tridiagonal matrix

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