Results 51 to 60 of about 29,873 (226)

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

Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator

Journal of Function Spaces and Applications, 2013
We give the theory of spectral properties for eigenvalues and eigenfunctions of Bessel type of fractional singular Sturm-Liouville problem. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively. Furthermore,
Erdal Bas
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

On periodic boundary value problem for the Sturm-Liouville operator

, 2005
We consider the Sturm-Liouville operator Lu=u''-q(x)u with periodic or antiperiodic boundary conditions. It is shown that depending of Fourier coefficients of the potential q(x) the system of root functions may have or may not have the basis property ...
Makin, Alexander
core   +1 more source

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 the existence of effective potentials in time-dependent density functional theory

, 2009
We investigate the existence and properties of effective potentials in time-dependent density functional theory. We outline conditions for a general solution of the corresponding Sturm-Liouville boundary value problems.
Agmon S, Blanchard P, Blanchard P, D Bauer, Dreizler R M, Fetter A L, Gross E K U, Hellwig G, Hellwig G, M Penz, M Ruggenthaler, Maurin K   +11 more
core   +1 more source

Heat Transfer in n‐Dimensional Parallelepipeds Under Zero Dirichlet Conditions

Engineering Reports, Volume 7, Issue 10, October 2025.
The graphical abstract visually summarizes the analytical study of heat propagation in an n‐dimensional domain: Top Left: Shows a unit cube transformed into a parallelepiped via an affine transformation, representing the geometric generalization of the domain.
Zafar Duman Abbasov, Davron Aslonqulovich Juraev, Obidjon Khayrullaevich Abdullaev, Irfan Nurhidayat, Mohd Asif Shah   +4 more
wiley   +1 more source

Analytical Studies on Holographic Superconductors in Gauss-Bonnet Gravity

, 2011
We use the variational method for the Sturm-Liouville eigenvalue problem to analytically calculate some properties of holographic superconductors with Gauss-Bonnet gravity in probe limit.
Cai, Rong-Gen, Li, Huai-Fan, Zhang, Hai-Qing   +2 more
core   +1 more source

Multi‐MeV Electron Occurrence and Lifetimes in the Outer Radiation Belt and Slot Region During the Maximum of Solar Cycle 22

Space Weather, Volume 23, Issue 10, October 2025.
Abstract The Combined Release and Radiation Effects Satellite (CRRES) observed the response of the Van Allen radiation belts to peak solar activity within solar cycle 22. This study analyses relativistic and ultra‐relativistic electron occurrence and loss timescales within the CRRES High Energy Electron Fluxometer (HEEF) data set, including during ...
R. T. Desai, J. Perrin, N. P. Meredith, S. A. Glauert, S. Ruparelia, W. R. Johnston   +5 more
wiley   +1 more source

Some Further Insight into the Sturm–Liouville Theory

Mathematics
Some classical texts on the Sturm–Liouville equation (p(x)y′)′−q(x)y+λρ(x)y=0 are revised to highlight further properties of its solutions. Often, in the treatment of the ensuing integral equations, ρ=const is assumed (and, further, ρ=1).
Salvatore De Gregorio, Lamberto Lamberti, Paolo De Gregorio   +2 more
doaj   +1 more source