Results 71 to 80 of about 10,340 (200)

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

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, Hoewoon B. Kim, Dojin Kim   +2 more
wiley   +1 more source

Fractional singular Sturm-Liouville problems on the half-line

Advances in Difference Equations, 2017
In this paper, we consider two types of singular fractional Sturm-Liouville operators. One comprises the composition of left-sided Caputo and left-sided Riemann-Liouville derivatives of order α ∈ ( 0 , 1 ) $\alpha \in(0,1)$ .
Pisamai Kittipoom
doaj   +1 more source

Regular approximation of singular Sturm–Liouville problems with eigenparameter dependent boundary conditions

Boundary Value Problems, 2020
In this paper we consider singular Sturm–Liouville problems with eigenparameter dependent boundary conditions and two singular endpoints. The spectrum of such problems can be approximated by those of the inherited restriction operators constructed.
Maozhu Zhang, Kun Li, Hongxiang Song
doaj   +1 more source

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.
openaire   +2 more sources

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
openaire   +4 more sources

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, Saad Ihsan Butt, Youngsoo Seol, Pengyu Chen   +3 more
wiley   +1 more source

On spectra of quadratic operator pencils with rank one gyroscopic linear part [PDF]

Opuscula Mathematica, 2018
The spectrum of a selfadjoint quadratic operator pencil of the form \(\lambda^2M-\lambda G-A\) is investigated where \(M\geq 0\), \(G\geq 0\) are bounded operators and \(A\) is selfadjoint bounded below is investigated.
Olga Boyko, Olga Martynyuk, Vyacheslav Pivovarchik   +2 more
doaj   +1 more source

Inverse spectral problems for Sturm--Liouville operators with matrix-valued potentials

, 2009
We give a complete description of the set of spectral data (eigenvalues and specially introduced norming constants) for Sturm--Liouville operators on the interval $[0,1]$ with matrix-valued potentials in the Sobolev space $W_2^{-1}$ and suggest an ...
Adams R A, Agranovich Z S, Albeverio S, Gasymov M G, Gasymov M G, Gelfand I M, Gesztesy F, Gohberg I, Gohberg I, Kato T, Krein M G, Krein M G, Krein M G, Krein M G, Krein M G, Krein M G, Lesch M, Levitan B M, Marchenko V A, Marchenko V A, Marchenko V A, Marchenko V A, N S Trush, Pöschel J, Ramm A G, Titchmarsh E C, Trush N S, Trush N S, Ya V Mykytyuk, Yurko V A   +29 more
core   +2 more sources

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

Transactions 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

Sturm-Liouville Problems and Hammerstein Operators

Journal 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