Completeness of the rootvectors of a dissipative Sturm-Liouville operators on time scales

DOI10.1016/J.AMC.2013.11.072zbMath1364.34131OpenAlexW2160622360MaRDI QIDQ529888

Hüseyin Tuna

Publication date: 9 June 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.11.072

zbMATH Keywords

time scale\(\nabla \)-differentiablecompleteness of the system of eigenvectors and associated vectorsdissipative Sturm-Liouville operatorLivšic's theorem

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Dynamic equations on time scales or measure chains (34N05)

Related Items (5)

Investigation of the spectrum of singular Sturm-Liouville operators on unbounded time scales ⋮ The bounds of eigenvalue for complex singular boundary value problems ⋮ Conformable fractional Sturm–Liouville problems on time scales ⋮ Dissipative Dirac operator with general boundary conditions on time scales ⋮ Non‐self‐adjoint singular second‐order dynamic operators on time scale

Cites Work

• Krein's theorems for a dissipative boundary value transmission problem
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• The determinants of dissipative Sturm-Liouville operators with transmission conditions
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• \(L^{2}\) spaces and boundary value problems on time-scales
• Extensions of symmetric operators and symmetric binary relations
• Multiple completeness of root vectors of a system of operator pencils and its application
• On Green's functions and positive solutions for boundary value problems on time scales
• Neural networks based approach for computing eigenvectors and eigenvalues of symmetric matrix
• The determinants of perturbation connected with a dissipative Sturm- Liouville operator
• Higher-order self-adjoint boundary-value problems on time scales
• Inequalities on Time Scales: A Survey
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
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