Results 41 to 50 of about 30,405 (240)
Elevated Salivary Theobromine and Long‐Term Improvement of Periodontal Health in Two Cohort Studies
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 +8 more
wiley +1 more source
Fredholm Modules for Quantum Euclidean Spheres
The quantum Euclidean spheres, $S_q^{N-1}$, are (noncommutative) homogeneous spaces of quantum orthogonal groups, $\SO_q(N)$. The *-algebra $A(S^{N-1}_q)$ of polynomial functions on each of these is given by generators and relations which can be ...
Connes +8 more
core +3 more sources
Multivariate representations of univariate marked Hawkes processes
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 +3 more
wiley +1 more source
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
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
Parity and generalized multiplicity
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
Ghost effect from Boltzmann theory
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
wiley +1 more source
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
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Existence of Traveling Wave Fronts for a Generalized KdV–mKdV Equation
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
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Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations
By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator.
Benevieri Pierluigi, Iannizzotto Antonio
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