On basicity of eigenfunctions of second order discontinuous differential operator

DOI10.13108/2017-9-1-109zbMath1479.34139OpenAlexW2611489527MaRDI QIDQ5136689

B. T. Bilalov, T. B. Gasymov

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa361

zbMATH Keywords

completenesseigenfunctionsminimalitybasisuniform minimality

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items

On basicity of the system of eigenfunctions of one discontinuous spectral problemfor second order differential equation for grand-Lebesgue space ⋮ Basis property of eigenfunctions in Lebesgue spaces for a spectral problem with a point of discontinuity ⋮ NONLOCAL PROBLEM FOR A SECOND ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATION WITH DEGENERATE KERNEL AND REAL PARAMETERS ⋮ On the basicity of eigenfunctions of a second-order differential operator with a discontinuity point in weighted Lebesgue spaces

Cites Work

• On bases of sines and cosines in Sobolev spaces
• On exponential bases for the Sobolev spaces over an interval
• A basis theory primer.
• On the basis of some systems of exponentials, cosines and sines in \(L_ p\).
• On the basis property of systems of exponentials, cosines and sines in \(L_p\)
• Approximate properties of systems of exponents in the Sobolev spaces
• Bases of exponentials, cosines, and sines formed by eigenfunctions of differential operators
• Frames, Riesz bases, and discrete Gabor/wavelet expansions
• The Space of Coefficients in a Linear Topological Space
• Geometric theory of Banach spaces. Part I. The theory of basis and minimal systems
• An introduction to frames and Riesz bases
• Riesz bases of solutions of Sturm-Liouville equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item