Results 261 to 270 of about 7,757,053 (329)

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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Solutions with singularities as almost solutions

Doklady Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Singularities in solutions of Burgers' equation

Physics Letters A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kamenshchik, A. Yu., Khalatnikov, I. M., Martellini, M.   +2 more
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Singular Solutions in Plasticity

2018
S. Alexandrov
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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.
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ON SYSTEMS WITH REGULAR SINGULARITIES, AND THEIR SOLUTIONS

Mathematics of the USSR-Izvestiya, 1986
In a space \(C^ n\) an integrable system of differential Pfaff equations of the form \(df=\omega f\) is considered, where f is an unknown p- dimensional vector of complex-valued functions, \(\omega =\sum^{m}_{i=1}A_ i\frac{dL_ i}{L_ i}\) is a matrix differential form, \(A_ i\) are constant commutative complex \(p\times p\)-matrices. It is supposed that
openaire   +3 more sources

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
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Asymptotic Expansions of Solutions of the Yamabe Equation and the σk‐Yamabe Equation near Isolated Singular Points

Communications on Pure and Applied Mathematics, 2019
We study asymptotic behaviors of positive solutions to the Yamabe equation and the σk‐Yamabe equation near isolated singular points and establish expansions up to arbitrary orders.
Qing Han, Xiaoxiao Li, Yichao Li
semanticscholar   +1 more source

New singular soliton solutions to the longitudinal wave equation in a magneto-electro-elastic circular rod with M-derivative

Modern physics letters B, 2019
In this paper, using the Bernoulli sub-equation function method, we obtain new dark, complex and singular soliton solutions for the longitudinal wave equation in a magneto-electro-elastic circular rod with [Formula: see text]-derivative. Many new complex
H. Baskonus, J. F. Gómez‐Aguilar
semanticscholar   +1 more source