Results 81 to 90 of about 369 (180)

Sturm-Liouville Problems and Hammerstein Operators

Journal of Integral Equations and Applications, 1992
This work is concerned with a study of nonreal eigenvalues of the Sturm- Liouville equation (1) \(-y''+q(x)y=\lambda w(x)y\), \(y(a)=y(b)=0\) where \(w\) as a weight takes positive values as well as negative values in the sets of positive Lebesgue measure.
openaire   +2 more sources

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

Қарағанды 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

Boundary 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, Jinming Cai, Kun Li, Maozhu Zhang   +3 more
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A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary Conditions

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

Известия 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

Exact and Numerical Solution of the Fractional Sturm-Liouville Problem with Neumann Boundary Conditions. [PDF]

Entropy (Basel), 2022
Klimek M, Ciesielski M, Blaszczyk T.
europepmc   +1 more source

Fragility of the Schrödinger Cat in thermal environments. [PDF]

Sci Rep, 2023
Bera S, Yip KLS, John S.
europepmc   +1 more source

Inequalities among eigenvalues of Sturm–Liouville problems

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

Abstract 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

Sturm-Liouville operator with general boundary conditions

Electronic Journal of Differential Equations, 2005
We classify the general linear boundary conditions involving $u''$, $u'$ and $u$ on the boundary ${a,b}$ so that a Sturm-Liouville operator on $[a,b]$ has a unique self-adjoint extension on a suitable Hilbert space.
Ciprian G. Gal
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