Results 71 to 80 of about 514,334 (168)

On recovering non-local perturbation of non-self-adjoint Sturm – Liouville operator [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика
Recently, there appeared a significant interest in inverse spectral problems for non-local operators arising in numerous applications. In the present work, we consider the operator with frozen argument $ly = -y''(x) + p(x)y(x) + q(x)y(a)$, which ...
Kuznetsova, Maria A.
doaj   +1 more source

Inequalities among eigenvalues of Sturm–Liouville problems

open access: yesJournal of Inequalities and Applications, 1999
There are well-known inequalities among the eigenvalues of Sturm–Liouville problems with periodic, semi-periodic, Dirichlet and Neumann boundary conditions.
Kong Q, Wu H, Zettl A, Eastham MSP
doaj  

On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems

open access: yesAbstract and Applied Analysis, 2015
We consider the nonself-adjoint Sturm-Liouville operator with q∈L1[0,1] and either periodic or antiperiodic boundary conditions. We obtain necessary and sufficient conditions for systems of root functions of these operators to be a Riesz basis in L2[0,1]
Alp Arslan Kıraç
doaj   +1 more source

Stability of the basis property of eigenvalue systems of Sturm-Liouville operators with integral boundary condition

open access: yesElectronic Journal of Differential Equations, 2016
We study a question on stability and instability of the basis property of a system of eigenfunctions of the Sturm - Liouville operator, with an integral perturbation of anti-periodic type on the boundary conditions.
Nurlan S. Imanbaev
doaj  

The UV prolate spectrum matches the zeros of zeta. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Connes A, Moscovici H.
europepmc   +1 more source

SPECTRAL PROPERTIES OF SINGULAR DIFFERENTIAL STURM-LIOUVILLE OPERATOR

open access: yes, 1996
The aim is to study the spectral properties of the not-semi-limited singular Sturm - Liouville operator. The method of constructing asymptotic formulae for solutions of the corresponding differential equation has been proposed.
Valeev, Nurmukhamet Fuatovich
core  

On the unboundedness below of the Sturm—Liouville operator

open access: yes, 1999
We show that if the leading coefficient p in a Sturm-Liouville expression is negative on a set E with positive Lebesgue measure, then the minimal operator (and hence any self-adjoint realization of the Sturm-Liouville expression) is not bounded below ...
Manfred Möller
core   +1 more source

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