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Asymptotic Integration of a Certain Second-Order Linear Delay Differential Equation

open access: yesМоделирование и анализ информационных систем, 2016
We construct some asymptotic formulas for solutions of a certain linear second-order delay differential equation when the independent variable tends to infinity. Two features concerning the considered equation should be emphasized. First, the coefficient
P. N. Nesterov
doaj   +1 more source

Fast parallel calculation of modified Bessel function of the second kind and its derivatives

open access: yesSoftwareX, 2022
There are three main types of numerical computations for the Bessel function of the second kind: series expansion, continued fraction, and asymptotic expansion. In addition, they are combined in the appropriate domain for each.
Takashi Takekawa
doaj   +1 more source

Explicit Relativistic Vortex Solutions for Cool Two-Constituent Superfluid Dynamics [PDF]

open access: yes, 1995
We give a class of explicit solutions for the stationary and cylindrically symmetric vortex configurations for a ``cool'' two-component superfluid (i.e. superfluid with an ideal gas of phonons).
Carter, Brandon, Langlois, David
core   +2 more sources

Hoeffding–Sobol decomposition of homogeneous co-survival functions: from Choquet representation to extreme value theory application

open access: yesDependence Modeling, 2021
The paper investigates the Hoeffding–Sobol decomposition of homogeneous co-survival functions. For this class, the Choquet representation is transferred to the terms of the functional decomposition, and in addition to their individual variances, or to ...
Mercadier Cécile, Ressel Paul
doaj   +1 more source

The asymptotic solution of the elasticity theory problem for a radially inhomogeneous cylinder

open access: yesPartial Differential Equations in Applied Mathematics
The elasticity theory problem for a radially inhomogeneous cylinder of small thickness, whose elastic moduli are arbitrary continuous functions depending on the radius of the cylinder, is considered. It is assumed that the side surface of the cylinder is
Natiq K. Akhmedov
doaj   +1 more source

Goodness-of-Fit Tests for Symmetric Stable Distributions -- Empirical Characteristic Function Approach

open access: yes, 2005
We consider goodness-of-fit tests of symmetric stable distributions based on weighted integrals of the squared distance between the empirical characteristic function of the standardized data and the characteristic function of the standard symmetric ...
Akimichi Takemura   +23 more
core   +2 more sources

Spectral analysis of the matrix Sturm–Liouville operator

open access: yesBoundary Value Problems, 2019
The self-adjoint matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is studied. We obtain asymptotic formulas for the eigenvalues and the weight matrices of the considered operator.
Natalia P. Bondarenko
doaj   +1 more source

Asymptotic estimation of some multiple integrals and the electromagnetic deuteron form factors at high momentum transfer

open access: yes, 2007
A theorem about asymptotic estimation of multiple integral of a special type is proved for the case when the integrand peaks at the integration domain bound, but not at a point of extremum.
A F Krutov   +9 more
core   +1 more source

Thermodynamics of Einstein-Proca AdS Black Holes [PDF]

open access: yes, 2014
We study static spherically-symmetric solutions of the Einstein-Proca equations in the presence of a negative cosmological constant. We show that the theory admits solutions describing both black holes and also solitons in an asymptotically AdS ...
Liu, Hai-Shan, Lu, H., Pope, C. N.
core   +4 more sources

Uniform asymptotic methods for integrals

open access: yesIndagationes Mathematicae, 2013
31 pages, 3 ...
openaire   +2 more sources

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