The discrete Prüfer transformation

DOI10.1090/S0002-9939-01-05833-6zbMath0980.39006OpenAlexW1536856061MaRDI QIDQ2716116

Ondřej Došlý, Martin J. Bohner

Publication date: 6 June 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05833-6

zbMATH Keywords

oscillationtime scalesPrüfer transformationSturm-Liouville difference equationslinear Hamiltonian difference systemssymplectic systems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Discrete version of topics in analysis (39A12) Dynamic equations on time scales or measure chains (34N05)

Related Items (11)

Eigenvalues of second-order difference equations with coupled boundary conditions ⋮ Transformations for complex discrete linear Hamiltonian and symplectic systems ⋮ Continuous dependence of the \(n\)-th eigenvalue of self-adjoint discrete Sturm-Liouville problems on the problem ⋮ Coupled intervals for discrete symplectic systems ⋮ Prüfer angle and non-oscillation of linear equations with quasiperiodic data ⋮ Eigenvalues of second-order linear equations with coupled boundary conditions on time scales ⋮ Inequalities among eigenvalues of different self-adjoint discrete Sturm-Liouville problems ⋮ An oscillation criterion for discrete trigonometric systems ⋮ Eigenvalues of second-order symmetric equations on time scales with periodic and antiperiodic boundary conditions ⋮ Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case ⋮ Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions

Cites Work

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• Analysis on measure chains - a unified approach to continuous and discrete calculus
• A Prüfer transformation for differential systems
• Basic calculus on time scales and some of its applications
• Sturmian theory on measure chains
• Disconjugacy and transformations for symplectic systems
• Generalized polar coordinate transformations for differential systems
• A Prufer Transformation for Matrix Differential Equations
• On some properties of trigonometric matrices
• Oscillatory Properties of Certain Nonlinear Matrix Differential Systems of Second Order
• A Note on Trigonometric Matrices

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