Results 11 to 20 of about 514,334 (168)
Sturm-Liouville operator with general boundary conditions [PDF]
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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Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Langer, Matthias, Woracek, Harald
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Continuations of Hermitian indefinite functions and corresponding canonical systems : an example [PDF]
, 2004 M. G. Krein established a close connection between the continuation problem of positive definite functions from a finite interval to the real axis and the inverse spectral problem for differential operators.
Langer, M. +5 more
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A function space model for canonical systems [PDF]
, 2011 Recently, a generalization to the Pontryagin space setting of the notion of canonical (Hamiltonian) systems which involves a finite number of inner singularities has been given.
Woracek, H., Langer, Matthias
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Journal of Mathematics, 2022 Fractional Sturm–Liouville and Langevin equations have recently attracted much attention. In this paper, we investigate a coupled system of fractional Sturm–Liouville–Langevin equations with antiperiodic boundary conditions in the framework of Caputo ...
Jinbo Ni, Jifeng Zhang, Wei Zhang
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Axioms, 2023 In this study, we obtained a system of eigenfunctions and eigenvalues for the mixed homogeneous Sturm-Liouville problem of a second-order differential equation containing a fractional derivative operator.
Ludmila Kiryanova, Tatiana Matseevich
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Mathematics, 2022 In this paper, we study a singular Sturm–Liouville problem with an eigenparameter-dependent boundary condition and transmission conditions at two interior points.
Jinming Cai, Zhaowen Zheng, Kun Li
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper the question on unconditional basicity of the system of eigenfunctions of the involutive perturbed Sturm-Liouville operator is investigated.
A.A. Sarsenbi
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Spectral analysis of the matrix Sturm–Liouville operator
Boundary Value Problems, 2019 The self-adjoint matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is studied. We obtain asymptotic formulas for the eigenvalues and the weight matrices of the considered operator.
Natalia P. Bondarenko
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Wave equation for Sturm-Liouville operator with singular potentials [PDF]
, 2022 The paper is denoted to the initial-boundary value problem for the wave equation with the Sturm-Liouville operator with irregular (distributive) potentials.
Yeskermessuly, Alibek +2 more
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