Eigenvalue theory for time scale symplectic systems depending nonlinearly on spectral parameter

DOI10.1016/j.amc.2012.08.026zbMath1309.34148OpenAlexW2021073662MaRDI QIDQ2018971

Roman Šimon Hilscher

Publication date: 26 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.08.026

zbMATH Keywords

linear Hamiltonian systemquadratic functionaltime scaleoscillation theoremdiscrete symplectic systemtime scale symplectic systemfinite eigenfunctionfinite eigenvalue

Mathematics Subject Classification ID

Nonlinear ordinary differential operators (34L30) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Dynamic equations on time scales or measure chains (34N05)

Related Items (7)

Limit point and limit circle classification for symplectic systems on time scales ⋮ Integral characteristic function of a nonlinear Sturm-Liouville problem ⋮ Weyl disks and square summable solutions for discrete symplectic systems with jointly varying endpoints ⋮ Comparison theorems for self‐adjoint linear Hamiltonian eigenvalue problems ⋮ 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 ⋮ Time scale symplectic systems with analytic dependence on spectral parameter

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