Linear Hamiltonian dynamic systems on time scales: Sturmian property of the principal solution.

DOI10.1016/S0362-546X(01)00228-0zbMath1042.34509OpenAlexW2044491692MaRDI QIDQ1875108

Roman Šimon Hilscher, Martin J. Bohner, Ondřej Došlý

Publication date: 26 August 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00228-0

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) General theory of difference equations (39A05)

Related Items (13)

Focal points and recessive solutions of discrete symplectic systems ⋮ Oscillation of symplectic dynamic systems ⋮ Extremal solutions at infinity for symplectic systems on time scales I – Genera of conjoined bases ⋮ Extremal solutions at infinity for symplectic systems on time scales II - Existence theory and limit properties ⋮ Recessive solutions for nonoscillatory discrete symplectic systems ⋮ Even-order linear dynamic equations with mixed derivatives ⋮ Singular Sturmian separation theorems for nonoscillatory symplectic difference systems ⋮ Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems ⋮ Singular comparison theorems for discrete symplectic systems ⋮ Necessary and sufficient conditions for positive solutions of second-order nonlinear dynamic equations on time scales ⋮ Eigenvalue theory for time scale symplectic systems depending nonlinearly on spectral parameter ⋮ Principal solutions at infinity for time scale symplectic systems without controllability condition ⋮ Asymptotic behaviour of dynamic systems on time scales†

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