Critical higher order Sturm–Liouville difference operators

DOI10.1080/10236190903527251zbMath1233.39002OpenAlexW2089192881MaRDI QIDQ3093749

Petr Hasil, Ondřej Došlý

Publication date: 18 October 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190903527251

zbMATH Keywords

perturbationslinear Hamiltonian difference systems\(p\)-critical operatorsSturm--Liouville difference operatorsub/supercritical operators

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Difference operators (39A70) Linear difference operators (47B39)

Related Items (3)

Friedrichs extension of operators defined by even order Sturm-Liouville equations on time scales ⋮ Conjugacy of self-adjoint difference equations of even order ⋮ Properties of critical and subcritical second order self-adjoint linear equations

Cites Work

• Unnamed Item
• Critical and subcritical Jacobi operators defined as Friedrichs extensions
• Disconjugacy and transformations for symplectic systems
• A Sturmian theorem for recessive solutions of linear Hamiltonian difference systems
• Transformations of linear Hamiltonian difference systems and some of their applications
• Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
• Oscillation criteria for higher order sturm–liouville difference equations^*
• Banded matrices and difference equations

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