Results 321 to 330 of about 2,130,840 (372)

Integration through singularities

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2003
AbstractThe numerical integration of the equations of motion of a multi‐body system in index‐1‐formulation (differential‐algebraic equations) sometimes breaks down, because there is a singularity on the manifold of consistent positions. This can be the case even if there is a continuously differentiable solution of the equations.
openaire   +3 more sources

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).
openaire   +2 more sources

Weak Type Estimates of Singular Integral Operators on Morrey–Banach Spaces

Integral equations and operator theory, 2019
K. Ho
semanticscholar   +1 more source

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.
openaire   +4 more sources

On Singular Integrals

American Journal of Mathematics, 1956
Calderón, Alberto P., Zygmund, Antoni
openaire   +1 more source

Singular Integral Equations

, 1977
N. Muskhelishvili
semanticscholar   +1 more source

Singular Series and Singular Integrals

1991
For a given \(\wp \), let p be the rational prime contained in \(\wp \), and let b, e, f denote the integers such that $$ {\wp ^e}\parallel p, {\text{ }}{p^b}\parallel k{\text{ }}\operatorname{and} {\text{ }}N\left( \wp \right) = {p^f}. $$
openaire   +2 more sources

Modeling of Graphene Planar Grating in the THz Range by the Method of Singular Integral Equations

, 2018
M. Kaliberda, L. Lytvynenko, S. Pogarsky
semanticscholar   +1 more source

Weighted inequalities for a general commutator associated to a singular integral operator satisfying a variant of Hörmander’s condition

, 2017
Haijun Hu, Lanzhe Liu
semanticscholar   +1 more source

Boundedness of multilinear singular integral operator with non-smooth kernels and mean oscillation

, 2017
Chuangxia Huang, Lanzhe Liu
semanticscholar   +1 more source