Oscillation theorems and Rayleigh principle for linear Hamiltonian and symplectic systems with general boundary conditions

DOI10.1016/J.AMC.2012.01.056zbMath1257.34077OpenAlexW1979922402MaRDI QIDQ440710

Vera Zeidan, Roman Šimon Hilscher

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.01.056

zbMATH Keywords

linear Hamiltonian systemoscillation theoremdiscrete symplectic systemRayleigh principletime scale symplectic system

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Linear boundary value problems for ordinary differential equations (34B05) Dynamic equations on time scales or measure chains (34N05) Oscillation theory for difference equations (39A21)

Related Items (7)

Limit point and limit circle classification for symplectic systems on time scales ⋮ Weyl disks and square summable solutions for discrete symplectic systems with jointly varying endpoints ⋮ Spectral and oscillation theory for general second order Sturm-Liouville difference equations ⋮ Comparison theorems for self‐adjoint linear Hamiltonian eigenvalue problems ⋮ Eigenvalue theory for time scale symplectic systems depending nonlinearly on spectral parameter ⋮ Discrete oscillation theorems for symplectic eigenvalue problems with general boundary conditions depending nonlinearly on spectral parameter ⋮ Transformation preserving controllability for nonlinear optimal control problems with joint boundary conditions

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