Results 11 to 20 of about 11,899 (198)
Spectral analysis of q-fractional Sturm-Liouville operators
Electronic Journal of Differential Equations, 2017 In this article, we study q-fractional Sturm-Liouville operators. Using by the functional method, we pass to a new operator. Then, showing that this operator is a maximal operator and constructing a self-adjoint dilation of the maximal dissipative ...
Bilender P. Allahverdiev, Huseyin Tuna
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Perturbations of periodic Sturm–Liouville operators
Advances in Mathematics, 2023 17 ...
Behrndt, Jussi +3 more
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Random Sturm–Liouville operators with point interactions [PDF]
Mathematische Nachrichten, 2021 AbstractWe study invariance for eigenvalues of selfadjoint Sturm–Liouville operators with local point interactions. Such linear transformations are formally defined by or similar expressions with instead of δ. In a probabilistic setting, we show that a point is either an eigenvalue for all ω or only for a set of ω's of measure zero.
del Rio, Rafael, Franco, Asaf L.
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Sturm–Liouville operator functions [PDF]
Dissertationes Mathematicae, 2018 Summary: Many special functions are solutions of both a differential and a functional equation. We use this duality to solve a large class of abstract Sturm-Liouville equations on the non-negative real line, initiating a theory of Sturm-Liouville operator functions; cosine, Bessel, and Legendre operator functions are special cases.
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Sturm-Liouville Operators [PDF]
, 2020 Second-order Sturm-Liouville differential expressions generate self-adjoint differential operators in weighted L2-spaces on an interval (a, b).
Jussi Behrndt, Seppo Hassi, Henk De Snoo
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Sturm–Liouville operators on time scales [PDF]
Journal of Difference Equations and Applications, 2012 We establish the connection between Sturm-Liouville equations on time scales and Sturm--Liouville equations with measure-valued coefficients. Based on this connection we generalize several results for Sturm-Liouville equations on time scales which have been obtained by various authors in the past.
Eckhardt, Jonathan, Teschl, Gerald
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Spectral analysis of the truncated Hilbert transform with overlap [PDF]
, 2013 We study a restriction of the Hilbert transform as an operator $H_T$ from $L^2(a_2,a_4)$ to $L^2(a_1,a_3)$ for real numbers $a_1 < a_2 < a_3 < a_4$. The operator $H_T$ arises in tomographic reconstruction from limited data, more precisely in the method ...
Al-Aifari, Reema, Katsevich, Alexander
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Evolutionary Problems Involving Sturm–Liouville Operators [PDF]
, 2013 The purpose of this paper is to further exemplify an approach to evolutionary problems originally developed in earlier works for a special case and later extended to more general evolutionary problems. We are here concerned with the $(1+1)$ -dimensional evolutionary case, which in a particular case results in a hyperbolic partial differential equation ...
Picard, Rainer, Watson, Bruce
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Ramanujan’s master theorem for sturm liouville operator
Monatshefte für Mathematik, 2022 In this paper we prove an analogue of Ramanujan's master theorem in the setting of Sturm Liouville operator.
K. Jotsaroop, Sanjoy Pusti
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Inverse Sturm-Liouville problem with analytical functions in the boundary condition
Open Mathematics, 2020 The inverse spectral problem is studied for the Sturm-Liouville operator with a complex-valued potential and arbitrary entire functions in one of the boundary conditions.
Bondarenko Natalia Pavlovna
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