Results 71 to 80 of about 11,899 (198)

Relatively bounded perturbations of J-non-negative operators

, 2022
We improve known perturbation results for self-adjoint operators in Hilbert spaces and prove spectral enclosures for diagonally dominant $J$-self-adjoint operator matrices. These are used in the proof of the central result, a perturbation theorem for $J$-
Philipp, Friedrich
core  

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

The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators

Annales Mathematicae Silesianae
In this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.
Allahverdiev Bilender P., Tuna Hüseyin, Isayev Hamlet A.   +2 more
doaj   +1 more source

Shape Morphing Programmable Systems for Enhanced Control in Low‐Velocity Flow Applications

Advanced Intelligent Systems, Volume 7, Issue 11, November 2025.
A soft, Lorentz‐force‐driven programmable surface enables rapid, reversible shape morphing for active flow control. Integrating experimental, numerical, and modeling approaches, the system demonstrates effective modulation of near‐wall flow and momentum at low velocities, offering pathways for bio‐inspired aerodynamics and natural locomotion emulation.
Jin‐Tae Kim, Taegeun Kim, Heesung Jung, Yu‐Ting Huang, Youngmin Jeon, Fei Liu, Shyuan Cheng, Jaehong Park, Jeonhyeong Park, Ben Jeffery, Taehoon Kim, Xiaoyue Ni, Namjung Kim, Donghyun You, Leonardo P. Chamorro, Xinchen Ni, John A. Rogers   +16 more
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

Spectral theory of Sturm–Liouville difference operators

Linear Algebra and its Applications, 2009
This paper deals with eigenvalue problems for the discrete Sturm-Liouville problem \[ -\Delta(f\Delta y)(n)+q(n)y(n)=\lambda w(n)y(n) \] for \(n=1,\dots,k\). The authors present several classes of explicit self-adjoint Sturm-Liouville difference operator with either a non-Hermitian leading coefficient function, or a non-Hermitian potential function, or
Shi, Guoliang, Wu, Hongyou
openaire   +1 more source

Analyticity and uniform stability of the inverse singular Sturm--Liouville spectral problem [PDF]

, 2011
We prove that the potential of a Sturm--Liouville operator depends analytically and Lipschitz continuously on the spectral data (two spectra or one spectrum and the corresponding norming constants).
Hryniv, Rostyslav O.
core  

Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients

Mathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15875-15889, 30 November 2025.
ABSTRACT A variety of inverse Sturm–Liouville problems is considered, including the two‐spectrum inverse problem, the problem of recovering the potential from the Weyl function, as well as the recovery from the spectral function. In all cases, the potential in the Sturm–Liouville equation is assumed to be complex valued.
Vladislav V. Kravchenko
wiley   +1 more source

On Summability of Spectral Expansions Corresponding to the Sturm-Liouville Operator

International Journal of Mathematics and Mathematical Sciences, 2012
We study the completeness property and the basis property of the root function system of the Sturm-Liouville operator defined on the segment [0, 1]. All possible types of two-point boundary conditions are considered.
Alexander S. Makin
doaj   +1 more source

Analytic investigation of rotating holographic superconductors

European Physical Journal C: Particles and Fields, 2019
In this paper we have investigated, in the probe limit, s-wave holographic superconductors in rotating $$AdS_{3+1}$$ AdS3+1 spacetime using the matching method as well as the Stürm–Liouville eigenvalue approach.
Ankur Srivastav, Sunandan Gangopadhyay
doaj   +1 more source