Dissipative Second-Order Difference Operators with General Boundary Conditions

DOI10.1080/1023619031000110912zbMath1141.39309OpenAlexW2053364963MaRDI QIDQ4819864

Bilender P. Allahverdiev

Publication date: 5 October 2004

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

Full work available at URL: https://doi.org/10.1080/1023619031000110912

zbMATH Keywords

second-order difference equationScattering matrixCompleteness of the system of eigenvectors and associated vectorsMinimal symmetric operatorSelfadjoint and nonselfadjoint extensionsSelfadjoint dilation and functional model of the maximal dissipative operator

Mathematics Subject Classification ID

Difference operators (39A70) Linear difference operators (47B39) Scattering theory of linear operators (47A40) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (5)

Extensions of symmetric second-order difference operators with matrix coefficients ⋮ Spectral analysis of dissipative fractional Sturm-Liouville operators ⋮ Nonself-adjoint second-order difference operators in limit-circle cases ⋮ Spectral analysis of \(q\)-Sturm-Liouville problem with the spectral parameter in the boundary condition ⋮ Spectral problems of nonself-adjoint singular discrete Sturm-Liouville operators

Cites Work

• Boundary conditions at infinity for difference equations of limit-circle type
• A spectral analysis for self-adjoint operators generated by a class of second order difference equations
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