Classification and criteria of the limit cases for singular second-order linear equations on time scales

DOI10.1186/1687-2770-2012-103zbMath1284.34132OpenAlexW2134481047WikidataQ59290992 ScholiaQ59290992MaRDI QIDQ384429

Yuming Shi, Chao Zhang

Publication date: 27 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-103

zbMATH Keywords

time scaleslimit-point caselimit-circle casesingular second-order linear equation

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 (6)

Limit point and limit circle classification for symplectic systems on time scales ⋮ 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 ⋮ A new method for dissipative dynamic operator with transmission conditions ⋮ Classification and criteria of limit cases for singular second-order linear equations with complex coefficients on time scales ⋮ On square integrable solutions of a fractional differential equation

Cites Work

• Sturm-Liouville problems on time scales with separated boundary conditions
• On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system
• Hamiltonian systems of limit point or limit circle type with both endpoints singular
• Spectral analysis of second order difference equations
• Sturm-Liouville eigenvalue problems on time scales
• Discrete spectra criteria for certain classes of singular differential and difference operators
• Limit-point and limit-circle criteria for singular second-order linear difference equations with complex coefficients
• Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems
• Eigenvalues of second-order symmetric equations on time scales with periodic and antiperiodic boundary conditions
• Eigenfunction expansions in \(L^{2}\) spaces for boundary value problems on time-scales
• Asymptotic behavior of dynamic equations ontime scales
• Detailed asymptotic of eigenvalues on time scales
• A limit-point criterion for linear hamiltonian systems
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point

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