Results 21 to 30 of about 4,826,204 (146)
Inverse spectral problems for Sturm–Liouville operators with partial information [PDF]
In this paper, we study the inverse spectral problems for Sturm–Liouville operators with Robin boundary conditions and show that if the potential q on the interval [0,α] for some α∈[0,1) is given a priori, then the potential q on the whole interval [0,1]
Wang, Yu-Ping; Shieh, Chung-Tsun; Ma, Yan-Ting +1 more
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In this article, we consider the existence of solutions to the Sturm–Liouville differential equation with random impulses and boundary value problems.
Zihan Li, Xiao-Bao Shu, Tengyuan Miao
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Computation of eigenvalues of fractional Sturm–Liouville problems [PDF]
We consider the eigenvalues of the fractional-order Sturm--Liouville equation of the form\begin{equation*}-{}^{c}D_{0^+}^{\alpha}\circ D_{0^+}^{\alpha} y(t)+q(t)y(t)=\lambda y(t),\quad ...
E.M. Maralani +3 more
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Special functions and generalized Sturm-Liouville problems
This book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on ...
Masjed-Jamei, Mohammad
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Sturm-Liouville difference equations having Bessel and hydrogen atom potential type
In this work, we bring a different approach for Sturm-Liouville problems having Bessel and hydrogen atom type and we provide a basis for direct and inverse problems.
Bas Erdal +2 more
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Variational Estimation Methods for Sturm–Liouville Problems
In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP) using variational problem (VP) formulation of regular SLP.
Elena Corina Cipu, Cosmin Dănuţ Barbu
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Inverse Sturm-Liouville problems: some recent developments [PDF]
We consider numerical methods for obtaining, from spectral data, information on the potentials of Sturm--Liouville operators. In particular, we describe some recent work on methods using an asymptotic correction technique of Paine, de Hoog and Anderssen.
Andrew, Alan
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Identification of the coefficients of equation for a vibrating rod in acoustic diagnostics
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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A Survey of Nonlinear Sturm-Liouville Equations [PDF]
[[abstract]]This note gives a brief survey of existence, uniqueness and bifurcation results for nonlinear Sturm-Liouville equations. Early in 1960, Nehari made an interesting proposal to study solutions with a prescribed number of nodes.
Chen, Chao-Nien
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Inverse Sturm–Liouville problems with polynomials in nonseparated boundary conditions
An nonself-adjoint Sturm–Liouville problem with two polynomials in nonseparated boundary conditions are considered. It is shown that this problem have an infinite countable spectrum. The corresponding inverse problems is solved.
Akhtyamov, Azamat M. +3 more
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