Results 91 to 100 of about 567,385 (243)
Logarithmic Sobolev inequalities and the spectrum of Sturm-Liouville operators [PDF]
, 1980 We continue our study of the logarithmic Sobolev inequality of Gross and its connections with the spectrum of Sturm-Liouville operators, confining our attention to a finite interval and the circle.
Rothaus, O.S
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The HELP inequality on trees [PDF]
, 2008 We establish analogues of Hardy and Littlewood's integro-differential equation for Schrödinger-type operators on metric and discrete trees, based on a generalised strong limit-point property of the graph ...
Matthias Langer +7 more
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Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities
Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
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Similarities of discrete and continuous Sturm-Liouville problems
Electronic Journal of Differential Equations, 2007 In this paper we present a study on the analogous properties of discrete and continuous Sturm-Liouville problems arising in matrix analysis and differential equations, respectively.
Kazem Ghanbari
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An expansion theorem for $q$-Sturm-Liouville operators on the wholeline
, 2018 In this work, we establish a Parseval equality and an expansion formula in eigenfunctions for a singular q−Sturm-Liouville operator on the whole line.
B. Allahverdiev, H. Tuna
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Some properties of the resolvent of Sturm-Liouville operators on unbounded time scales
Mathematica, 2019 . In this article, we investigate the resolvent operator of Sturm-Liou-ville problem on unbounded time scales. We obtain integral representations for the resolvent of this operator.
B. Allahverdiev, H. Tuna
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Determinants of Regular Singular Sturm ‐ Liouville Operators [PDF]
Mathematische Nachrichten, 1998 AbstractWe consider a regular singular Sturm‐Liouville operator equation image on the line segment (0,1]. We impose certain boundary conditions such that we obtain a semi‐bounded self‐adjoint operator. It is known (cf. Theorem 1.1 below) that the ζ‐function of this operator equation image has a meromorphic continuation to the whole complex plane with 0
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang +2 more
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SPECTRAL ANALYSIS OF q-FRACTIONAL STURM-LIOUVILLE OPERATORS
, 2021 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 ...
Allahverdiev, Bilender P. +1 more
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On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems
Abstract and Applied Analysis, 2015 We consider the nonself-adjoint Sturm-Liouville operator with q∈L1[0,1] and either periodic or antiperiodic boundary conditions. We obtain necessary and sufficient conditions for systems of root functions of these operators to be a Riesz basis in L2[0,1]
Alp Arslan Kıraç
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