Limit circle invariance for two differential systems on time scales

DOI10.1002/mana.201400005zbMath1312.34142OpenAlexW2124638855MaRDI QIDQ5248795

Petr Zemánek, Roman Šimon Hilscher

Publication date: 11 May 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400005

zbMATH Keywords

linear Hamiltonian systemsymplectic systemtime scalelimit circle casesquare integrable solution

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Linear ordinary differential equations and systems (34A30) Dynamic equations on time scales or measure chains (34N05)

Related Items (11)

Characterization of self-adjoint extensions for discrete symplectic systems ⋮ Stability of deficiency indices for discrete Hamiltonian systems under bounded perturbations ⋮ Extremal solutions at infinity for symplectic systems on time scales I – Genera of conjoined bases ⋮ Discrete symplectic systems, boundary triplets, and self-adjoint extensions ⋮ Non–limit‐circle and limit‐point criteria for symplectic and linear Hamiltonian systems ⋮ Limit Point Criteria for Second-Order Sturm–Liouville Equations on Time Scales ⋮ Extremal solutions at infinity for symplectic systems on time scales II - Existence theory and limit properties ⋮ On square integrable solutions and principal and antiprincipal solutions for linear Hamiltonian systems ⋮ A dynamic matrix exponential via a matrix cylinder transformation ⋮ Time scale symplectic systems with analytic dependence on spectral parameter ⋮ LIMIT POINT, STRONG LIMIT POINT AND DIRICHLET CONDITIONS FOR DISCRETE HAMILTONIAN SYSTEMS

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