Results 61 to 70 of about 15,440 (200)

Continuations of Hermitian indefinite functions and corresponding canonical systems : an example [PDF]

, 2004
M. G. Krein established a close connection between the continuation problem of positive definite functions from a finite interval to the real axis and the inverse spectral problem for differential operators.
Langer, Heinz, Langer, Matthias, Sasvári, Zoltán   +2 more
core   +1 more source

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

Periodic Solutions of the Euler-Bernoulli Equation for Vibrations of a Beam with Fixed Ends

Современные информационные технологии и IT-образование, 2020
The problem of time-periodic solutions of the quasilinear equation of forced vibrations of an I-beam with fixed ends is investigated. The nonlinear term and the right-hand side of the equation are time-periodic functions.
Igor Rudakov, Mikhail Zinovyev
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

Existence and Stability of Ulam–Hyers and Generalized Ulam–Hyers for the Generalized Langevin–Sturm–Liouville Equation Involving Generalized Liouville–Caputo Type

Journal of Mathematics
This paper focuses on investigating the existence, uniqueness, and stability of Ulam–Hyers (U-H) and generalized Ulam–Hyers (G-U-H) solutions for the generalized Langevin–Sturm–Liouville equation, which involves generalized Liouville–Caputo derivatives ...
Muthaiah Subramanian, Bundit Unyong, Muath Awadalla   +2 more
doaj   +1 more source

Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14661-14671, 15 November 2025.
ABSTRACT We study the direct and inverse scattering problems for the Zakharov‐Shabat system. Representations for the Jost solutions are obtained in the form of the power series in terms of a transformed spectral parameter. In terms of that parameter, the Jost solutions are convergent power series in the unit disk.
Vladislav V. Kravchenko
wiley   +1 more source

A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory

Fractal and Fractional
The Langevin equation is a model for describing Brownian motion, while the Sturm–Liouville equation is an important mechanical model. This paper focuses on the solvability and stability of nonlinear impulsive Langevin and Sturm–Liouville equations with ...
Kaihong Zhao, Juqing Liu, Xiaojun Lv
doaj   +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

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

Investigation of the Generalized Proportional Langevin and Sturm–Liouville Fractional Differential Equations via Variable Coefficients and Antiperiodic Boundary Conditions with a Control Theory Application Arising from Complex Networks [PDF]

, 2022
Abdelatif Boutiara, Mohammed K. A. Kaabar, Zailan Siri, Mohammad Esmael Samei, Xiao‐Guang Yue   +4 more
openalex   +1 more source