Results 11 to 20 of about 2,882 (218)
Fractional analogue of Sturm–Liouville operator [PDF]
Documenta Mathematica, 2016 In this paper we study a symmetric fractional differential operator of order 2\alpha , (1/2<\alpha<1) .
Niyaz Tokmagambetov, Berikbol T. Torebek
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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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Spectral analysis of q-fractional Sturm-Liouville operators [PDF]
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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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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The Regulator Problem to the Convection–Diffusion Equation
Mathematics, 2023 In this paper, from linear operator, semigroup and Sturm–Liouville problem theories, an abstract system model for the convection–diffusion (C–D) equation is proposed.
Andrés A. Ramírez, Francisco Jurado
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Қарағанды университетінің хабаршысы. Математика сериясы, 2020 It is known that the eigenvalues λn(n = 1, 2, ...) numbered in decreasing order and taking the multiplicity of the self-adjoint Sturm-Liouville operator with a completely continuous inverse operator L−1 have the following property (∗) λn → 0, when n → ∞,
M.B. Muratbekov, M.M. Muratbekov
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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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Identification of the coefficients of equation for a vibrating rod in acoustic diagnostics
Вестник КазНУ. Серия математика, механика, информатика, 2020 The work is devoted to the study solving some inverse problem of identifying the coefficients of Sturm-Liouville operator. Inverse problems in vibration are concerned with constructing a vibrating system of a particular type, e.g., a string, a rod, that
Zh.A. Kaiyrbek
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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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Wave equation for Sturm-Liouville operator with singular intermediate coefficient and potential [PDF]
, 2023 In this paper, we consider a wave equation on a bounded domain with a Sturm–Liouville operator with a singular intermediate coefficient and a singular potential. To obtain and evaluate the solution, the method of separation of variables is used, then the
Ruzhansky, M, YESKERMESSULY, A
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