ON A q-BOUNDARY VALUE PROBLEM WITH DISCONTINUITY CONDITIONS

DOI10.14529/MMPH210401zbMath1486.34166OpenAlexW4288521878MaRDI QIDQ5067350

Döne Karahan, Khanlar Rashid Mamedov

Publication date: 1 April 2022

Published in: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyurm495

zbMATH Keywords

self-adjoint operatorsampling theorycompleteness of eigenfunctions\(q\)-Sturm-Liouville operator

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Difference equations, scaling ((q)-differences) (39A13) Sampling theory in information and communication theory (94A20)

Related Items (7)

On a $q$-analogue of the Sturm-Liouville operator with discontinuity conditions ⋮ Titchmarsh-Weyl theory for impulsive dynamic Dirac system ⋮ Uniqueness for an inverse quantum-Dirac problem with given Weyl function ⋮ Existence results for impulsive dynamic singular nonlinear Sturm-Liouville equations on infinite intervals ⋮ Unnamed Item ⋮ Titchmarsh-Weyl theory for impulsive \(q\)-Dirac equation ⋮ Existence theorem for a fractal Sturm-Liouville problem

Cites Work

• Unnamed Item
• Unnamed Item
• \(q\)-fractional calculus and equations
• New \(q\)-derivative and \(q\)-logarithm
• \(q\)-type sampling theorems
• Qualitative spectral analysis of singular \(q\)-Sturm-Liouville operators
• A 𝑞-sampling theorem related to the 𝑞-Hankel transform
• Integral transforms connected with discontinuous boundary value problems
• Basic Sturm–Liouville problems
• More on the q-oscillator algebra and q-orthogonal polynomials
• Eigenfunction expansion in the singular case for q-Sturm-Liouville operators
• A Generalized Sampling Theorem
• Sampling theory associated withq-difference equations of the Sturm–Liouville type

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