Results 61 to 70 of about 11,899 (198)
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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Transformation Operators for Sturm-Liouville Operators with Singular Potentials [PDF]
Mathematical Physics, Analysis and Geometry, 2004 Transformation operators are constructed for the Sturm-Liouville operator \(\ell f:=f''+qf\) with a singular complex-valued potential \(q\in W_2^{-1}(0,1)\). Some applications to the spectral analysis of Sturm-Liouville operators with singular potentials are also given.
Hryniv, Rostyslav O. +1 more
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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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Wasit Journal for Pure Sciences: In this study, we provide an overview of the Sturm-Liouville operator’s spectral theory on a finite interval. Also, we study the main spectral characteristics for the second-order differential operator, and we show that the eigenvalues and ...
khelan hussien
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Spectral Analysis of a Self-Similar Sturm-Liouville Operator
, 2004 In this text we describe the spectral nature (pure point or continuous) of a self-similar Sturm-Liouville operator on the line or the half-line. This is motivated by the more general problem of understanding the spectrum of Laplace operators on ...
Sabot, Christophe
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Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab +3 more
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Some Resolvent Estimates for Sturm Liouville Operators
Journal of Mathematical Analysis and Applications, 1996 Using a method similar to the second author's [\textit{E. Mourre}, Commun. Math. Phys. 78, No. 3, 391-408 (1981; Zbl 0489.47010)], the authors obtain some estimates on the resolvent of the 1-D Schrödinger operator. Under certain conditions these estimates are used to show that the Schrödinger operator has a purely absolutely continuous spectrum.
Briet, P., Mourre, E.
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A Sturm–Liouville theorem for quadratic operator pencils
Journal of Differential Equations, 2020 We establish a Sturm{Liouville theorem for quadratic operator pencils counting their unstable real roots, with applications to stability of waves. Such pencils arise, for example, in reduction of eigenvalue systems to higher-order scalar problems.
Sukhtayev, Alim, Zumbrun, Kevin
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Electronic Journal of Differential Equations, 2017 In this article we consider a second-order Sturm-Liouville operator with a spectral parameter in the boundary condition on bounded time scales. We construct a selfadjoint dilation of the dissipative Sturm-Liouville operators.
Bilender P. Allahverdiev +2 more
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Sturm-Llouvllle Probleminin Rezolvent Operatörü ve Özfonksiyonları [PDF]
, 2013 Konferans Bildirisi -- Teorik ve Uygulamalı Mekanik Türk Milli Komitesi, 2013Conference Paper -- Theoretical and Applied Mechanical Turkish National Committee, 2013Bu calışmada iki noktada süreksiz olan ve sınır koşullarının birinde özdeğer parametresi ...
Mukhtarov, Oktay +2 more
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