Linear Hamiltonian systems on time scales: Positivity of quadratic functionals

DOI10.1016/S0895-7177(00)00149-7zbMath0982.37054MaRDI QIDQ1591021

Roman Šimon Hilscher

Publication date: 11 April 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

linear Hamiltonian systemtime scaledisconjugacyprincipal solutioncritical quadratic functionalfocal points for matrix solutions

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Time scale symplectic systems without normality ⋮ 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 ⋮ Oscillation theorems and Rayleigh principle for linear Hamiltonian and symplectic systems with general boundary conditions ⋮ Inhomogeneous quadratic functionals on time scales ⋮ Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales ⋮ Higher-order self-adjoint boundary-value problems on time scales ⋮ Homoclinic orbits and periodic solutions for a class of Hamiltonian systems on time scales ⋮ The behavior of quantum particles at very low scale ⋮ Weak maximum principle and accessory problem for control problems on time scales ⋮ Hamiltonian systems on time scales

Cites Work

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