Rofe-Beketov formula for symplectic systems

DOI10.1186/1687-1847-2012-104zbMath1347.34142OpenAlexW2115776403WikidataQ59289102 ScholiaQ59289102MaRDI QIDQ320409

Petr Zemánek

Publication date: 6 October 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-104

zbMATH Keywords

symplectic systemtime scalereduction of order theoremRofe-Beketov formula

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Explicit solutions, first integrals of ordinary differential equations (34A05) Dynamic equations on time scales or measure chains (34N05)

Related Items

Nonstandard finite difference variational integrators for nonlinear Schrödinger equation with variable coefficients ⋮ Extremal solutions at infinity for symplectic systems on time scales I – Genera of conjoined bases

Cites Work

• Rofe-Beketov's formula on time scales
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Effective Prüfer angles and relative oscillation criteria
• The theory of differential equations. Classical and qualitative
• Equivalence of discrete Euler equations and discrete Hamiltonian systems
• Critical coupling constants and eigenvalue asymptotics of perturbed periodic Sturm-Liouville operators
• Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item