A Sturmian theorem for recessive solutions of linear Hamiltonian difference systems

DOI10.1016/S0893-9659(98)00156-6zbMath0933.39034OpenAlexW2094968750MaRDI QIDQ1808988

Werner Kratz, Martin J. Bohner, Ondřej Došlý

Publication date: 25 November 1999

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00156-6

zbMATH Keywords

focal pointrecessive solutionsSturm-Liouville difference equationslinear Hamiltonian difference systemsSturm separation theorem

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items

Focal points and recessive solutions of discrete symplectic systems ⋮ Multiple periodic solutions for discrete Hamiltonian systems ⋮ Recessive solutions for nonoscillatory discrete symplectic systems ⋮ Applications of time scale symplectic systems without normality ⋮ Singular Sturmian separation theorems for nonoscillatory symplectic difference systems ⋮ Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales ⋮ On Recessive and Dominant Solutions for Half-linear Difference Equations ⋮ Singular comparison theorems for discrete symplectic systems ⋮ Generalized zeros of \(2\times 2\) symplectic difference system and of its reciprocal system ⋮ Conjugacy of self-adjoint difference equations of even order ⋮ Friedrichs extension of operators defined by symmetric banded matrices ⋮ Critical higher order Sturm–Liouville difference operators ⋮ Transformations and the number of focal points for conjoined bases of symplectic difference systems

Cites Work

• Disconjugacy for linear Hamiltonian difference systems
• Qualitative properties of Hamiltonian difference systems
• Inequalities and asymptotics for Riccati matrix difference operators
• On the discrete Riccati equation and its applications to discrete Hamiltonian systems
• Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
• A Substitute of L'Hospital's Rule for Matrices
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