Results 41 to 50 of about 567,385 (243)

Spectral analysis of the matrix Sturm–Liouville operator

Boundary Value Problems, 2019
The self-adjoint matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is studied. We obtain asymptotic formulas for the eigenvalues and the weight matrices of the considered operator.
Natalia P. Bondarenko
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Zeta Determinants of Sturm—Liouville Operators [PDF]

Functional Analysis and Its Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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On completeness of weak eigenfunctions for multi-interval Sturm-Liouville equations with boundary-interface conditions

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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A 2-edge partial inverse problem for the Sturm-Liouville operators with singular potentials on a star-shaped graph [PDF]

, 2017
Boundary value problems for Sturm-Liouville operators with potentials from the class $W_2^{-1}$ on a star-shaped graph are considered. We assume that the potentials are known on all the edges of the graph except two, and show that the potentials on the ...
N. Bondarenko
semanticscholar   +1 more source

Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems

International Journal of Analysis and Applications, 2018
The purpuse of this article is to show the matrix representations of Sturm-Liouville operators with finitely many δ-interactions. We show that a Sturm-Liouville problem with finitely many δ-interactions can be represented as a finite dimensional matrix ...
Abdullah Kablan, Mehmet Akif Çetin
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Uniqueness Theorems for Sturm-Liouville Operator with Parameter Dependent Boundary Conditions and Finite Number Of Transmission Conditions

Cumhuriyet Science Journal, 2017
In this paper, we prove some uniqueness theorems forthe solution of inverse spectral problems of Sturm–Liouville operators withboundary conditions depending linearly on the spectral parameter and with afinite number of transmission conditions.
Yaşar Çakmak, Baki Keskin
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Ramanujan’s master theorem for sturm liouville operator

Monatshefte für Mathematik, 2022
In this paper we prove an analogue of Ramanujan's master theorem in the setting of Sturm Liouville operator.
K. Jotsaroop, Sanjoy Pusti
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Eigenfunction expansions of a quadratic pencil of differential operator with periodic generalized potential

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this article we obtain the eigenfunction expansions of a quadratic pencil of Sturm-Liouville operators with periodic coefficients. The important point to note here is the given potential is a first order generalized function.
Manaf Manafov, Abdullah Kablan
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Spectral singularities of an impulsive Sturm-Liouville operators

, 2022
In this paper, we handle an impulsive Sturm–Liouville equation with complex potential on the semi axis. The objective of this work is to examine some spectral properties of this impulsive Sturm–Liouville equation.
Öznur, Güler Başak
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