A note on the equivalence between even order Sturm-Liouville equations and symplectic systems on time scales

DOI10.1016/j.aml.2012.04.009zbMath1348.34146OpenAlexW1986171686MaRDI QIDQ1761581

Petr Zemánek

Publication date: 15 November 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.04.009

zbMATH Keywords

quadratic functionaltime scaleeven order Sturm-Liouville dynamic equationtime reversed symplectic system

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Discrete version of topics in analysis (39A12) Dynamic equations on time scales or measure chains (34N05)

Related Items (4)

Friedrichs extension of operators defined by even order Sturm-Liouville equations on time scales ⋮ Non–limit‐circle and limit‐point criteria for symplectic and linear Hamiltonian systems ⋮ On discrete symplectic systems: associated maximal and minimal linear relations and nonhomogeneous problems ⋮ Limit circle invariance for two differential systems on time scales

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