Rayleigh principle for time scale symplectic systems and applications

DOI10.14232/ejqtde.2011.1.83zbMath1340.34355OpenAlexW2738141271MaRDI QIDQ3459622

Vera Zeidan, Roman Šimon Hilscher

Publication date: 8 January 2016

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

Full work available at URL: https://doi.org/10.14232/ejqtde.2011.1.83

zbMATH Keywords

linear Hamiltonian systempositivityquadratic functionalSturmian comparison theoremdiscrete symplectic systemSturmian separation theoremRayleigh principletime scale symplectic systemfinite eigenfunctionfinite eigenvalue

Mathematics Subject Classification ID

Related Items (8)

Extremal solutions at infinity for symplectic systems on time scales I – Genera of conjoined bases ⋮ Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter ⋮ Weyl disks and square summable solutions for discrete symplectic systems with jointly varying endpoints ⋮ Extremal solutions at infinity for symplectic systems on time scales II - Existence theory and limit properties ⋮ Oscillation theorems and Rayleigh principle for linear Hamiltonian and symplectic systems with general boundary conditions ⋮ Comparison theorems for self‐adjoint linear Hamiltonian eigenvalue problems ⋮ Eigenvalue theory for time scale symplectic systems depending nonlinearly on spectral parameter ⋮ Principal solutions at infinity for time scale symplectic systems without controllability condition

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