Results 41 to 50 of about 15,759 (194)
Using homotopy analysis method to find the eigenvalues of higher order fractional Sturm–Liouville problems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We utilize the homotopy analysis method to find eigenvalues of fractional Sturm–Liouville problems. Inasmuch as very few papers have been devoted to estimating eigenvalues of these kind of problems, this work enjoys a particular significance in many ...
J. Biazar, M. Dehghan, T. Houlari
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An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line
, 2014 The matrix Sturm-Liouville operator with an integrable potential on the half-line is considered. We study the inverse spectral problem, which consists in recovering of this operator by the Weyl matrix.
Bondarenko, Natalia
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Left-Definite Sturm–Liouville Problems
Journal of Differential Equations, 2001 For a linear and regular differential equation of second order, the selfadjoint Sturm-Liouville problem is usually studied in the so-called right-definite case (meaning that the right-hand side ``weight'' \(w\) of the eigenvalues does not change sign). This means that we may work in a Hilbert space with the standard inner product.
Kong, Q., Wu, H., Zettl, A.
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Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract In this paper, we investigate the following D1,p$D^{1,p}$‐critical quasi‐linear Hénon equation involving p$p$‐Laplacian −Δpu=|x|αupα∗−1,x∈RN,$$\begin{equation*} -\Delta _p u=|x|^{\alpha }u^{p_\alpha ^*-1}, \qquad x\in \mathbb {R}^N, \end{equation*}$$where N⩾2$N\geqslant 2$, 1
Wei Dai +3 more
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Scattering theory for difference equations with operator coefficients
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher +3 more
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Fractal and FractionalIn this paper, we investigate the eigenvalue properties of a nonlocal Sturm–Liouville equation involving fractional integrals and fractional derivatives under different boundary conditions.
Yunyang Zhang, Shaojie Chen, Jing Li
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Inverse nodal problem for a class of nonlocal sturm‐liouville operator
Mathematical Modelling and Analysis, 2010 Inverse nodal problem consists in constructing operators from the given nodes (zeros) of their eigenfunctions. In this work, the Sturm‐Liouville problem with one classical boundary condition and another nonlocal integral boundary condition is considered.
Chuan-Fu Yang
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, 2001 Solving inverse scattering problem for a discrete Sturm-Liouville operator with the fast decreasing potential one gets reflection coefficients $s_\pm$ and invertible operators $I+H_{s_\pm}$, where $ H_{s_\pm}$ is the Hankel operator related to the symbol
Volberg, A., Yuditskii, P.
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Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System
Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 2098-2113, February 2026.ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
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Shape invariance through Crum transformation
, 2006 We show in a rigorous way that Crum's result on equal eigenvalue spectrum of Sturm-Liouville problems can be obtained iteratively by successive Darboux transformations. It can be shown that all neighbouring Darboux-transformed potentials of higher order,
Bagchi B. K. +12 more
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