Trigonometric transformations of symplectic difference systems

DOI10.1006/JDEQ.1999.3728zbMath0956.39011OpenAlexW2110051764MaRDI QIDQ1566832

Ondřej Došlý, Martin J. Bohner

Publication date: 12 March 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5ee4f713fd36ddc030195e58a2f4692b75cc3937

zbMATH Keywords

oscillationtrigonometric systemsymplectic difference systemlinear Hamiltonian difference system

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (13)

Transformations for complex discrete linear Hamiltonian and symplectic systems ⋮ On some aspects of the Bohl transformation for Hamiltonian and symplectic systems ⋮ A Sturmian separation theorem for symplectic difference systems ⋮ Coupled intervals for discrete symplectic systems ⋮ Oscillation and conjugacy criteria for two-dimensional symplectic difference systems ⋮ Discrete symplectic systems, boundary triplets, and self-adjoint extensions ⋮ Conjugacy and phases for second order linear difference equation ⋮ On symplectic transformations of linear Hamiltonian differential systems without normality ⋮ Generalized zeros of \(2\times 2\) symplectic difference system and of its reciprocal system ⋮ An oscillation criterion for discrete trigonometric systems ⋮ Discrete oscillation theorems for symplectic eigenvalue problems with general boundary conditions depending nonlinearly on spectral parameter ⋮ Transformations and the number of focal points for conjoined bases of symplectic difference systems ⋮ The comparative index and transformations of linear Hamiltonian differential systems

Cites Work

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• \(C\)-disfocality for linear Hamiltonian difference systems
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• Transformations of linear Hamiltonian difference systems and some of their applications
• Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
• A Prufer Transformation for Matrix Differential Equations
• On transformations of self-adjoint linear differential systems and their reciprocals
• Phase matrix of linear differential systems

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