Results 51 to 60 of about 3,501 (264)

Solvability of an Integral Equation of Volterra-Wiener-Hopf Type

Abstract and Applied Analysis, 2014
The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. We show that under some assumptions that equation has a continuous and bounded solution defined on the interval 0,∞ and having a finite ...
Nurgali K. Ashirbayev, Józef Banaś, Agnieszka Dubiel   +2 more
doaj   +1 more source

Clark-Ocone type formulas in the Meixner white noise analysis

Karpatsʹkì Matematičnì Publìkacìï, 2013
In the classical Gaussian analysis the Clark-Ocone formula allows to reconstruct an integrand if we know the Ito stochastic integral. This formula can be written in the form$$F=\mathbf EF+\int\mathbf E\big\{\partial_t F|_{\mathcal F_t}\big\}dW_t,$$where ...
N. A. Kachanovsky
doaj   +1 more source

Tunable Applicator for Microneedle‐Based Medical Devices

Advanced Materials Technologies, EarlyView.
This paper presents a simple, low‐cost tunable applicator (TAPP) for microneedle array patches that uses a material‐agnostic controlled‐fracture mechanism to ensure reliable skin penetration and uniform array engagement. The scalable, modular design is compatible with injection molding and 3D printing, can be integrated directly into patches, and is ...
Dan Ilyn, Jihyun (Luna) Hwang, Ian A. Coates, Jacob Dobson, Andy H. Hung, Netra U. Kamat, John R. Tumbleston, Maria T. Dulay, Gunilla B. Jacobson, Joseph M. DeSimone   +9 more
wiley   +1 more source

An Approximation Formula of the Integral Transform on Wiener Space

Axioms
In this paper, we introduce an integral transform with a kernel defined on the Wiener space. We first establish the existence of the integral transform and present several illustrative examples.
Hyun Soo Chung
doaj   +1 more source

Running coupling and non-perturbative corrections for O(N) free energy and for disk capacitor

Journal of High Energy Physics, 2022
We reconsider the complete solution of the linear TBA equation describing the energy density of finite density states in the O(N) nonlinear sigma models by the Wiener-Hopf method.
Zoltán Bajnok, János Balog, Árpád Hegedűs, István Vona   +3 more
doaj   +1 more source

Midbrain PAG Astrocytes Modulate Mouse Defensive and Panic‐Like Behaviors

Advanced Science, EarlyView.
Astrocytes in the midbrain periaqueductal gray (PAG) dynamically encode threat intensity and shape defensive action selection in mice. Real‐time Ca2+ imaging reveals robust astrocytic activation during predator odor and CO2 exposure. Aberrant astrocytic Ca2+ overactivation disrupts goal‐directed escape, biases behavior toward freezing, and induces ...
Ellane Barcelon, Kyungchul Noh, Minkyu Hwang, Yoon‐Jung Kim, Unjin Lee, Yeon Joo Ryu, Je‐Kyung Ryu, Sang Beom Jun, Se‐Young Choi, Woo‐Hyun Cho, Sung Joong Lee   +10 more
wiley   +1 more source

Dual integral equations with Fox's H-function kernel

International Journal of Mathematics and Mathematical Sciences, 1984
The dual integral equations involving Bessel function kernels were first considered by Weber in 1873. The problem comprised of finding potential of an electrified disc which belongs to a general category of mixed boundary value problems.
R. N. Kalia
doaj   +1 more source

Solutions of a quadratic Volterra–Stieltjes integral equation in the class of functions converging at infinity

Electronic Journal of Qualitative Theory of Differential Equations, 2018
The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
doaj   +1 more source

Nonlinear stochastic dynamics of an array of coupled micromechanical oscillators

International Journal of Mechanical System Dynamics, 2023
The stochastic response of a multi‐degree‐of‐freedom nonlinear dynamical system is determined based on the recently developed Wiener path integral (WPI) technique.
Maria I. Katsidoniotaki, Ioannis Petromichelakis, Ioannis A. Kougioumtzoglou   +2 more
doaj   +1 more source

Temporal and Cell‐Specific Regulation of Synaptic Homeostasis by the Chromatin Remodeler Chd1

Advanced Science, EarlyView.
Chd1, the Drosophila homologue of mammalian CHD2 ‐ a gene linked to autism, epilepsy, and intellectual disability, is required for synaptic homeostatic plasticity. Chd1 in glia is necessary for the rapid induction of synaptic homeostasis, whereas Chd1 in motoneurons, muscle, and glia is critical for long‐term maintenance.
Danielle T. Morency, Tao Cui, Yimei Cai, Chloe Lok, Rachel E. Nokku, Ruoxian Huang, Grace L. Chu, Yumeng Xie, Saleem W. Abu‐Tayeh, Kaikai He, Chengjie Qiu, Junyi Wang, Paxton M. Paganelli, Ting Wang, Gabrielle Williams, Sreejith Nair, Huadong Pei, Dion K. Dickman, Stefano Vicini, Tingting Wang   +19 more
wiley   +1 more source