Results 71 to 80 of about 367 (181)

The computation of eigenvalues of singular Sturm–Liouville operators

open access: yesAdvances in Applied Mathematics, 2007
An effective way is given to approximate eigenvalues of a singular Sturm-Liouville boundary problem for operators which are relatively bounded perturbations of a known operator.
Amin Boumenir, Vu Kim Tuan
openaire   +1 more source

Operator-pencil treatment of multi-interval Sturm-Liouville equation with boundary-transmission conditions

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
This paper is devoted to a new type of boundary-value problems for Sturm-Liouville equations defined on three disjoint intervals (−π,−π+d),(−π+d,π−d) and (π−d,π) together with eigenparameter dependent boundary conditions and with additional transmission
H. Olǧar, F. Muhtarov, O. Mukhtarov
doaj   +1 more source

A discontinuous Sturm–Liouville problem with boundary conditions rationally dependent on the eigenparameter

open access: yesBoundary Value Problems, 2018
The present paper deals with a class of discontinuous Sturm–Liouville problems with boundary conditions rationally dependent on the eigenparameter.
Zhaowen Zheng   +3 more
doaj   +1 more source

A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary Conditions

open access: yesDiscrete Dynamics in Nature and Society, 2017
In this paper, we investigate a class of discontinuous singular Sturm-Liouville problems with limit circle endpoints and eigenparameter dependent boundary conditions.
Jinming Cai, Zhaowen Zheng
doaj   +1 more source

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

The Wave Model of the Sturm–Liouville Operator on an Interval [PDF]

open access: yesJournal of Mathematical Sciences, 2019
In the paper we construct the wave functional model of a symmetric restriction of the regular Sturm-Liouville operator on an interval. The model is based upon the notion of the wave spectrum and is constructed according to an abstract scheme which was proposed earlier.
openaire   +3 more sources

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