Results 41 to 50 of about 30,121 (246)

Inner‐Layer Asymptotics in Partially Perforated Domains: Coupling Across Flat and Oscillating Interfaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley   +1 more source

Elevated Salivary Theobromine and Long‐Term Improvement of Periodontal Health in Two Cohort Studies

Journal of Clinical Periodontology, EarlyView.
ABSTRACT Background Theobromine, a methylxanthine mainly found in chocolate, has been suggested to possess various health‐promoting properties. This study aimed to investigate the long‐term effect of salivary theobromine levels on periodontitis severity using 7‐ and 10‐year follow‐up data from the prospective Studies of Health in Pomerania (SHIP‐TREND ...
Thomas Kocher, Sebastian‐Edgar Baumeister, Henry Völzke, Matthias Nauck, Peter Meisel, Karsten Suhre, Uwe Völker, Nele Friedrich, Birte Holtfreter   +8 more
wiley   +1 more source

Integro-differential equations the second boundary value problem of linear elasticity theory. Message 1. Homogeneous isotropic body

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
The system of equations of the second boundary value problem of the linear theory of elasticity for homogeneous isotropic bodies is reduced to two separate integro-differential equations of Fredholm type, which allowed to apply for their research the ...
Valery V Struzhanov
doaj   +1 more source

On Solvability in the Class of Distributions of Degenerate Integro-Differential Equations in Banach Spaces

Известия Иркутского государственного университета: Серия "Математика", 2020
The paper considers a new approach to constructing generalized solutions of degenerate integro-differential equations convolution type in Banach spaces.
M.V. Falaleev
doaj   +1 more source

Classification by Estimating the Cumulative Distribution Function for Small Data

IEEE Access, 2023
In this paper, we study the classification problem by estimating the conditional probability function of the given data. Different from the traditional expected risk estimation theory on empirical data, we calculate the probability via Fredholm equation,
Meng-Xian Zhu, Yuan-Hai Shao
doaj   +1 more source

Multivariate representations of univariate marked Hawkes processes

Scandinavian Journal of Statistics, EarlyView.
Abstract Univariate marked Hawkes processes are used to model a range of real‐world phenomena including earthquake aftershock sequences, contagious disease spread, content diffusion on social media platforms, and order book dynamics. This paper illustrates a fundamental connection between univariate marked Hawkes processes and multivariate Hawkes ...
Louis Davis, Conor Kresin, Boris Baeumer, Ting Wang   +3 more
wiley   +1 more source

Parity and generalized multiplicity

, 1991
Assuming that X and Y are Banach spaces and that T is a path of linear Fredholm operators with invertible endpoints, in [F-Pl] we defined a homotopy invariant "the parity of T .
Fitzpatrickp., Pejsachowicz, Jacobo
core   +1 more source

On the qualitative behaviors of Volterra-Fredholm integro differential equations with multiple time-varying delays

Arab Journal of Basic and Applied Sciences
This article considers a Volterra-Fredholm integro-differential equation including multiple time-varying delays. The aim of this article is to study the uniqueness of solution, the Ulam–Hyers–Rassias stability and the Ulam–Hyers stability of the Volterra-
Cemil Tunç, Osman Tunç
doaj   +1 more source

Existence of Traveling Wave Fronts for a Generalized KdV–mKdV Equation

Mathematical Modelling and Analysis, 2014
This paper deals with the existence of traveling wave fronts for a generalized KdV–mKdV equation. We first establish the existence of traveling wave solutions for the equation without delay, and then we prove the existence of traveling wave fronts for ...
Ying Xu, Zengji Du
doaj   +1 more source

Adenosine and acute low oxygen conditions suppress urinary bladder contractility through the activation of adenosine 2B receptors and large‐conductance calcium‐activated potassium channels

The Journal of Physiology, EarlyView.
Abstract figure legend Detrusor smooth muscle surrounding the urinary bladder produces transient pressure events essential for sensing bladder fullness during the filling phase. We investigated the role of adenosine, a ubiquitous signalling molecule, in regulating bladder smooth muscle function.
Gerald M. Herrera, Jason L. Rengo, Grant W. Hennig, Thomas J. Heppner, Alexandria M. Hepp, Maria Sancho, Saul Huerta de la Cruz, Mark T. Nelson, Nicholas R. Klug   +8 more
wiley   +1 more source