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An Enhanced Hybrid SVD-DBO-VMD Framework for Rolling Bearing Fault Feature Extraction Using Vibration Data. [PDF]

Sensors (Basel)
Zhang C, Xu L, He X, Zhao Z, Zhao X.
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Comparative analytical study of the ([Formula: see text])-dimensional Heisenberg spin chain equation using the modified Kudryashov and unified Riccati methods. [PDF]

Sci Rep
Jawarneh Y, Mukhtar S, Islam S, Amadou Y.   +3 more
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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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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
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Kamenshchik, A. Yu., Khalatnikov, I. M., Martellini, M.   +2 more
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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
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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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Singularities of Solutions of the Eikonal Equation

Differential Equations, 2019
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On the Solutions of the Problem for a Singular Ergodic Control

Journal of Optimization Theory and Applications, 2017
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Yen-Lin Wu, Zhi-You Chen
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Perturbation of Solutions with Moving Singularities

Theoretical and Mathematical Physics, 2001
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