A Sturmian separation theorem for symplectic difference systems

DOI10.1016/j.jmaa.2006.01.074zbMath1107.39021OpenAlexW2026145158MaRDI QIDQ854052

Ondřej Došlý, Werner Kratz

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.074

zbMATH Keywords

focal pointseparation theoremconjoined basisdiscrete quadratic functional

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (14)

Oscillation theorems for symplectic difference systems ⋮ Oscillation and conjugacy criteria for two-dimensional symplectic difference systems ⋮ Discrete symplectic systems, boundary triplets, and self-adjoint extensions ⋮ Comparison Theorems for Weighted Focal Points of Conjoined Bases of Hamiltonian Difference Systems ⋮ Symmetric three-term recurrence equations and their symplectic structure ⋮ Sturmian theory for linear Hamiltonian systems without controllability ⋮ Applications of time scale symplectic systems without normality ⋮ Singular Sturmian separation theorems for nonoscillatory symplectic difference systems ⋮ Singular comparison theorems for discrete symplectic systems ⋮ Comparative index for solutions of symplectic difference systems ⋮ Sturmian and spectral theory for discrete symplectic systems ⋮ Multiplicities of focal points for discrete symplectic systems: revisited ⋮ Eigenvalues of discrete Sturm-Liouville problems with sign-changing weight and coupled boundary conditions ⋮ A remark on focal points of recessive solutions of discrete symplectic systems

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• Discrete Oscillation
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