Results 281 to 290 of about 672,012 (336)

Preceding influenza infection impacts neutrophil response to Aspergillus fumigatus and Staphylococcus aureus. [PDF]

open access: yesImmunohorizons
Naghshtabrizi N   +8 more
europepmc   +1 more source

Oscillatory Singular Integrals

Mathematische Nachrichten, 1987
L 2 boundedness is proved for a class of oscillatory singular integrals of the form \[ Tf(x)=\int_{{\mathbb{R}}\quad n}e^{iB(x)\cdot y} K(x- y)f(y)dy,\quad x\in {\mathbb{R}}\quad n,\quad f\in C^{\infty}_ 0({\mathbb{R}}\quad n) \] (suitable assumptions are made about B and K).
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Singular Integral Equations

Journal of Mathematical Physics, 1966
The integral equation P ∫ cK(ζ′,ζ)ζ′−ζφ(ζ′) dζ′=h(ζ)φ(ζ)+f(ζ)is shown to have simple solutions obtained by standard and elementary methods if h and K have appropriate analytic properties.
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Singularities of Solutions of Singular Integral Equations

Ukrainian Mathematical Journal, 2002
This paper deals with a singular integral equation \[ Sq+Tq=f,\tag{1} \] where \(q(x)\) is an unknown function, \[ Sq(x):=aq(x)+\frac{1}{\pi }\text{v.p.} \int_{-1}^{1} \frac{q(\tau)}{\tau -x} d\tau,\;Tq(x):=\int_{-1}^{1}K(x,\tau)q(\tau) d\tau. \] It is assumed that the functions \(f\) and \(K\) smoothly depend on additional parameters.
Kapustyan, V. E., Il'man, V. M.
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Product Integration for Singular Integrals and Singular Integral Equations

1979
Integral equations with weakly singular kernels often have solutions which have derivative singularities at the end points of the range of integration. The error analysis of a product integration method for such integral equations depends on the error analysis of the product integration method applied to integrals of the form \(\int\limits_0^1 {g\left(
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SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

Acta Mathematica Scientia, 1998
Abstract In this paper, the author discusses some singular integral operators, singular quadrature operators and discretization matrices associated with singular integral equations with Cauchy kernels, and obtain some useful properties for them. These results improve both the classical theory of singular integral equation and the classical theory of ...
openaire   +1 more source

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