Results 1 to 10 of about 10,340 (200)
Sturm-Liouville operators on time scales [PDF]
Journal of Difference Equations and Applications, 2011 We establish the connection between Sturm-Liouville equations on time scales and Sturm--Liouville equations with measure-valued coefficients. Based on this connection we generalize several results for Sturm-Liouville equations on time scales which have ...
Atkinson F. +14 more
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Dissipative Sturm-Liouville Operators with Transmission Conditions [PDF]
Abstract and Applied Analysis, 2013 In this paper we study dissipative Sturm-Liouville operators with transmission conditions. By using Pavlov’s method (Pavlov 1947, Pavlov 1981, Pavlov 1975, and Pavlov 1977), we proved a theorem on completeness of the system of eigenvectors and associated
Hüseyin Tuna, Aytekin Eryılmaz
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Bernstein collocation technique for a class of Sturm-Liouville problems [PDF]
HeliyonSturm-Liouville problems have yielded the biggest achievement in the spectral theory of ordinary differential operators. Sturm-Liouville boundary value issues appear in many key applications in natural sciences. All the eigenvalues for the standard Sturm-
Humaira Farzana +2 more
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Spectral properties of an impulsive Sturm-Liouville operator. [PDF]
J Inequal Appl, 2018 This work is devoted to discuss some spectral properties and the scattering function of the impulsive operator generated by the Sturm-Liouville equation. We present a different method to investigate the spectral singularities and eigenvalues of the mentioned operator.
Bairamov E, Erdal I, Yardimci S.
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Spectral analysis of q-fractional Sturm-Liouville operators
Electronic Journal of Differential Equations, 2017 In this article, we study q-fractional Sturm-Liouville operators. Using by the functional method, we pass to a new operator. Then, showing that this operator is a maximal operator and constructing a self-adjoint dilation of the maximal dissipative ...
Bilender P. Allahverdiev, Huseyin Tuna
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On the Jost Solutions of A Class of the Quadratic Pencil of the Sturm-Liouville Equation
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2023 In this study we construct new integral representations of Jost-type solutions of the quadratic pencil of the Sturm-Liouville equation with the piece-wise constant coefficient on the entire real line.
Döndü Nurten Cücen, Anar Adiloğlu
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Perturbations of periodic Sturm–Liouville operators
Advances in Mathematics, 2023 17 ...
Behrndt, Jussi +3 more
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Random Sturm–Liouville operators with point interactions [PDF]
Mathematische Nachrichten, 2021 AbstractWe study invariance for eigenvalues of selfadjoint Sturm–Liouville operators with local point interactions. Such linear transformations are formally defined by or similar expressions with instead of δ. In a probabilistic setting, we show that a point is either an eigenvalue for all ω or only for a set of ω's of measure zero.
del Rio, Rafael, Franco, Asaf L.
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The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange - Sturm - Liouville [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 Let us say that the principle of localization holds at the class of functions $F$ at point $x_0 \in [0, \pi]$ for the Lagrange\,--\,Sturm\,--\,Liouville interpolation process $L_n^{SL}(f,x)$ if $\lim_{n \rightarrow \infty}\left|L_n^{SL}(f, x_0)-L_n^{SL ...
Aleksandr Yurievich Trynin +1 more
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Comparison and oscillation theorems for singular Sturm-Liouville operators [PDF]
Opuscula Mathematica, 2014 We prove analogues of the classical Sturm comparison and oscillation theorems for Sturm-Liouville operators on a finite interval with real-valued distributional potentials.
Monika Homa, Rostyslav Hryniv
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