Results 1 to 10 of about 510 (80)
Sampling Theorems for Sturm Liouville Problem with Moving Discontinuity Points [PDF]
Boundary Value Problems, 2014 In this paper, we investigate the sampling analysis for a new Sturm-Liouville problem with symmetrically located discontinuities which are defined to depending on a neighborhood of a midpoint of the interval.
Altinisik, Nihat, Hira, Fatma
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Connections between Romanovski and other polynomials
Open Mathematics, 2007 A connection between Romanovski polynomials and those polynomials that solve the one-dimensional Schr\"odinger equation with the trigonometric Rosen-Morse and hyperbolic Scarf potential is established.
Weber Hans
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Demonstratio Mathematica, 2023 The goal of this study is to analyse the eigenvalues and weak eigenfunctions of a new type of multi-interval Sturm-Liouville problem (MISLP) which differs from the standard Sturm-Liouville problems (SLPs) in that the Strum-Liouville equation is defined ...
Olgar Hayati
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STURM–LIOUVILLE PROBLEMS WITH BOUNDARY CONDITIONS RATIONALLY DEPENDENT ON THE EIGENPARAMETER. I
Proceedings of the Edinburgh Mathematical Society, 2002 We consider the Sturm–Liouville equation $$ -y''+qy=\lambda y\quad\text{on }[0,1], $$ subject to the boundary conditions $$ y(0)\cos\alpha=y'(0)\sin\alpha,\quad\alpha\in[0,\pi), $$ and $$\frac{y'}{y}(1)=a\lambda+b-\sum_{k=1}^N\frac{b_k}{\lambda-c_k ...
P. Binding, P. Browne, B. Watson
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Results in Applied Mathematics, 2020 This paper deals with non-self-adjoint second-order differential operators with two constant delays from [π∕2,π)and two potentials from L20,π.
Biljana Vojvodic +2 more
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Open Mathematics, 2023 In this article, we focus on the scattering analysis of Sturm-Liouville type singular operator including an impulsive condition and turning point. In the classical literature, there are plenty of papers considering the positive values of the weight ...
Çoşkun Nimet, Görgülü Merve
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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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Open Mathematics, 2021 For any positive integer n and a set of positive integers mi{m}_{i}, i=1,2,…,n+1i=1,2,\ldots ,n+1, we construct a class of quadratic eigenparameter-dependent boundary Sturm-Liouville problems with n transmission conditions, which have at most ∑i=1n+1mi+n+
Li Jia, Hao Xiaoling, Li Kun, Yao Siqin
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Boundary Value Problems, 2013 We study the inverse problem for non-selfadjoint Sturm-Liouville operators on a finite interval with possibly multiple spectra. We prove the uniqueness theorem and obtain constructive procedures for solving the inverse problem along with the necessary ...
S. Buterin, Chung‐Tsun Shieh, V. Yurko
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, 2020 In this paper, we find all canonical forms for third order self-adjoint boundary conditions. These canonical forms play an important role in the study of the dependence of the eigenvalues on the problem and for their numerical calculation.
T. Niu, Xiaoling Hao, Jiong Sun, Kun Li
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