Results 41 to 50 of about 603 (164)

THE TWO-SIDED ESTIMATES OF THE FREDHOLM RADIUS AND COMPACTNESS CONDITIONS FOR THE OPERATOR ASSOCIATED WITH A SECOND-ORDER DIFFERENTIAL EQUATION

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
In this paper we consider the properties of the resolvent of a linear operator corresponding to a degenerate singular second-order differential equation with variable coefficients, considered in the Lebesgue space.
K. N. Ospanov, A. N. Yesbayev
doaj   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

A Nyström Method for 2D Linear Fredholm Integral Equations on Curvilinear Domains

open access: yesMathematics, 2023
This paper is devoted to the numerical treatment of two-dimensional Fredholm integral equations, defined on general curvilinear domains of the plane. A Nyström method, based on a suitable Gauss-like cubature formula, recently proposed in the literature ...
Anna Lucia Laguardia, Maria Grazia Russo
doaj   +1 more source

Stability of Fredholm properties on interpolation scales

open access: yesArkiv för Matematik, 1990
Après avoir mis en évidence une propriété caractérisant les opérateurs de Fredholm, les auteurs montrent que si un opérateur \(T\) linéaire de \(A_ 1+A_ 2\) dans \(B_ 1+B_ 2\) est de Fredholm dans un espace d'interpolation \((A_ 1,A_ 2)_ \theta\) dans \((B_ 1,B_ 2)_ \theta\) (ou intérpolation réelle) alors il reste de Fredholm dans des intérpolés dont ...
Cao, Wei, Sagher, Yoram
openaire   +2 more sources

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

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3353-3384, 15 March 2026.
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

Ghost effect from Boltzmann theory

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.
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

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

open access: yesJournal of Clinical Periodontology, Volume 53, Issue 3, Page 445-454, March 2026.
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

The Property EA and Local Spectral Theory

open access: yesInternational Journal of Mathematics and Mathematical Sciences
In this paper, we introduce and study the spectral property EA. This property means that the difference between the approximate point spectrum and the upper semi-Fredholm spectrum coincides with the difference between the approximate point spectrum and ...
Elvis Aponte   +2 more
doaj   +1 more source

Multivariate representations of univariate marked Hawkes processes

open access: yesScandinavian Journal of Statistics, Volume 53, Issue 1, Page 140-174, March 2026.
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

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