Results 71 to 80 of about 290 (180)

On Hermite–Hadamard Inequalities for Generalized Quantum Interval Calculus

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we develop the theory of β,gH‐calculus for interval‐valued functions by combining the β‐functions with the generalized Hukuhara difference. Within this framework, we establish various properties related to β,gH‐differentiation and β,gH‐integration.
Muhammad Umer Azam   +4 more
wiley   +1 more source

Multi-interval dissipative Sturm–Liouville boundary-value problems with distributional coefficients

open access: yesДоповiдi Нацiональної академiї наук України
The paper investigates spectral properties of multi-interval Sturm–Liouville operators with distributional coefficients. Constructive descriptions of all self-adjoint and maximal dissipative/accumulative extensions in terms of boundary conditions are ...
A.S. Goriunov
doaj   +1 more source

Poisson kernels of q$q$‐3D Hermite polynomials expansion for functions of several variables via generalized q$q$‐heat equations

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
wiley   +1 more source

Space versus energy oscillations of Prufer phases for matrix Sturm-Liouville and Jacobi operators

open access: yesElectronic Journal of Differential Equations, 2020
This note considers Sturm oscillation theory for regular matrix Sturm-Liouville operators on finite intervals and for matrix Jacobi operators. The number of space oscillations of the eigenvalues of the matrix Prufer phases at a given energy, defined ...
Hermann Schulz-Baldes, Liam Urban
doaj  

Stability of kinklike structures in generalized models

open access: yesNuclear Physics B, 2020
We study the stability of topological structures in generalized models with a single real scalar field. We show that it is driven by a Sturm-Liouville equation and investigate the conditions that lead to the existence of explicit supersymmetric operators
I. Andrade, M.A. Marques, R. Menezes
doaj   +1 more source

Sturm-Liouville Problems and Hammerstein Operators

open access: yesJournal of Integral Equations and Applications, 1992
This work is concerned with a study of nonreal eigenvalues of the Sturm- Liouville equation (1) \(-y''+q(x)y=\lambda w(x)y\), \(y(a)=y(b)=0\) where \(w\) as a weight takes positive values as well as negative values in the sets of positive Lebesgue measure.
openaire   +2 more sources

The computation of eigenvalues of singular Sturm–Liouville operators

open access: yesAdvances in Applied Mathematics, 2007
An effective way is given to approximate eigenvalues of a singular Sturm-Liouville boundary problem for operators which are relatively bounded perturbations of a known operator.
Amin Boumenir, Vu Kim Tuan
openaire   +1 more source

Comparative simulations for solutions of fractional Sturm–Liouville problems with non-singular operators

open access: yesAdvances in Difference Equations, 2018
In this study, we consider fractional Sturm–Liouville (S–L) problems within non-singular operators. A fractional S–L problem with exponential and Mittag-Leffler kernels is given with different versions in the Riemann–Liouville and Caputo sense.
Erdal Bas   +3 more
doaj   +1 more source

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