On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment

DOI10.35634/vm210202zbMath1491.34038OpenAlexW3175190718MaRDI QIDQ5037450

Nurlan Saĭramovich Imanbaev

Publication date: 1 March 2022

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu763

zbMATH Keywords

asymptoticseigenvalueszeroscharacteristic polynomialentire functionsfunction of bounded variationintegral perturbationdifferentiation operatorboundary value conditions

Mathematics Subject Classification ID

Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• On stability of basis property of root vectors system of the Sturm-Liouville operator with an integral perturbation of conditions in nonstrongly regular Samarskii-Ionkin type problems
• Differential-difference equations
• The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions
• On the zeros of the Fourier transform of finite measure
• On zeros of the characteristic determinant of the spectral problem for a third-order differential operator on a segment with nonlocal boundary conditions
• On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications
• Sharp estimates of types of entire functions with zeros on rays
• Uniform, on the entire axis, convergence of the spectral expansion for Schrödinger operator with a potential-distribution
• Discontinuous inverse eigenvalue problems
• The meromorphic functions of completely regular growth on the upper half-plane
• On localization conditions for spectrum of model operator for Orr - Sommerfeld equation
• About characteristic determinant of one boundary value problem not having the basis property
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