Results 61 to 70 of about 14,640 (198)
Q-classical orthogonal polynomials: a very classical approach [PDF]
, 1999 The q-classical orthogonal polynomials defined by Hahn satisfy a Sturm-Liouville type equation in geometric differences. Working with this, we classify the q−classical polynomials in twelve families according to the zeros of the polynomial coefficients ...
Marcellán Español, Francisco +1 more
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Fermions embedded in a scalar-vector kink-like smooth potential
, 2015 The behaviour of massive fermions is analyzed with scalar and vector potentials. A continuous chiral-conjugation transformation decouples the equation for the upper component of the Dirac spinor provided the vector coupling does not exceed the scalar ...
Castilho, W M, de Castro, A S
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Variational iteration method for Sturm–Liouville differential equations
Computers & Mathematics with Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Altıntan, D., Uğur, Ö
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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
wiley +1 more source
Inverse nodal problem for a class of nonlocal sturm‐liouville operator
Mathematical Modelling and Analysis, 2010 Inverse nodal problem consists in constructing operators from the given nodes (zeros) of their eigenfunctions. In this work, the Sturm‐Liouville problem with one classical boundary condition and another nonlocal integral boundary condition is considered.
Chuan-Fu Yang
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Levinson's Theorem for Non-local Interactions in Two Dimensions
, 1998 In the light of the Sturm-Liouville theorem, the Levinson theorem for the Schr\"{o}dinger equation with both local and non-local cylindrically symmetric potentials is studied. It is proved that the two-dimensional Levinson theorem holds for the case with
Chadan Kh +23 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
wiley +1 more source
Hille-Nehari type oscillation and nonoscillation criteria for linear and half-linear differential equations [PDF]
MATEC Web of Conferences, 2019 Differential equations attract considerable attention in many applications. In particular, it was found out that half-linear differential equations behave in many aspects very similar to that in linear case. The aim of this contribution is to investigate
Rˇ eznícˇková Jana
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On Sturm–Liouville equations with several spectral parameters [PDF]
Boletín de la Sociedad Matemática Mexicana, 2015 We give explicit formulas for a pair of linearly independent solutions of $(py')'(x)+q(x)=( _1r_1(x)+\cdots+ _dr_d(x))y(x)$, thus generalizing to arbitrary $d$ previously known formulas for $d=1$. These are power series in the spectral parameters $ _1,\dots, _d$ (real or complex), with coefficients which are functions on the interval of definition ...
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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
wiley +1 more source