Results 281 to 290 of about 733,513 (333)

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.
openaire   +1 more source

Singular vacuum solutions as singular matter solutions: Where do spacetime singularities come from?

EPL (Europhysics Letters), 2017
A direct evidence for the existence of spacetime singularities is the existence of singularities in vacuum solutions of the Einstein equation. A singular vacuum solution implies that spacetime itself may have singularities. In this paper, we exemplify that a singular vacuum solution can also serve as a non-vacuum solution of the Einstein equation with ...
Yu-Zhu Chen, Wu-Sheng Dai
openaire   +1 more source

Singular Solutions of Clairaut Equations

Russian Physics Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zyryanova, O. V., Mudruk, V. I.
openaire   +1 more source

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