Results 1 to 10 of about 54 (51)
On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators
Cumhuriyet Science Journal, 2019 In this paper, theinverse spectral problems of Sturm-Liouville operators are considered. Some newuniqueness theorems and analogies of the Mochizuki-Trooshin Theorem are proved.2010 Mathematics Subject Classification. Primary34A55, 34B24; Secondary 34L05.
İbrahim Adalar
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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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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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”Homogeneous” second order differential equation: zeros separation principles [PDF]
, 2018 In this paper we study the following problems: Problem 1. Let I ⊂ R be an open interval and F : R3 × I → R be a continuous function with, F (0, 0, 0, x) = 0, for all x ∈ I. We consider the following differential equations ... ...
RUS, Ioan A.
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Weyl asymptotics for perturbations of Morse potential and connections to the Riemann zeta function
Concrete Operators, 2023 Let N(T;V)N\left(T;\hspace{0.33em}V) denote the number of eigenvalues of the Schrödinger operator −y″+Vy-{y}^{^{\prime\prime} }+Vy with absolute value less than TT. This article studies the Weyl asymptotics of perturbations of the Schrödinger operator −y″
Rahm Rob
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Spectral analysis for differential operators with singularities
Abstract and Applied Analysis, Volume 2004, Issue 2, Page 165-182, 2004., 2004 Nonselfadjoint boundary value problems for second‐order differential equations on a finite interval with nonintegrable singularities inside the interval are considered under additional sewing conditions for solutions at the singular point. We study properties of the spectrum, prove the completeness of eigen‐ and associated functions, and investigate ...
Vjacheslav Anatoljevich Yurko
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On the domain of selfadjoint extension of the product of Sturm‐Liouville differential operators
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 11, Page 695-709, 2003., 2003 The second‐order symmetric Sturm‐Liouville differential expressions τ1, τ2, …, τn with real coefficients are considered on the interval I = (a, b), −∞ ≤ a < b ≤ ∞. It is shown that the characterization of singular selfadjoint boundary conditions involves the sesquilinear form associated with the product of Sturm‐Liouville differential expressions and ...
Sobhy El-Sayed Ibrahim
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