Results 91 to 100 of about 11,899 (198)
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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Relative oscillation theory for Sturm–Liouville operators extended
Journal of Functional Analysis, 2008 We extend relative oscillation theory to the case of Sturm--Liouville operators $H u = r^{-1}(-(pu')'+q u)$ with different $p$'s. We show that the weighted number of zeros of Wronskians of certain solutions equals the value of Krein's spectral shift function inside essential spectral gaps.
Krüger, Helge, Teschl, Gerald
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On recovering non-local perturbation of non-self-adjoint Sturm – Liouville operator [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаRecently, 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.
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Exact and Numerical Solution of the Fractional Sturm-Liouville Problem with Neumann Boundary Conditions. [PDF]
Entropy (Basel), 2022 Klimek M, Ciesielski M, Blaszczyk T.
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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
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Fragility of the Schrödinger Cat in thermal environments. [PDF]
Sci Rep, 2023 Bera S, Yip KLS, John S.
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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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The UV prolate spectrum matches the zeros of zeta. [PDF]
Proc Natl Acad Sci U S A, 2022 Connes A, Moscovici H.
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Electronic 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
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On Positive Definite Kernels of Integral Operators Corresponding to the Boundary Value Problems for Fractional Differential Equations. [PDF]
Entropy (Basel), 2022 Aleroev M, Aleroev T.
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