Results 11 to 20 of about 356 (98)

Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets [PDF]

open access: yes, 2009
We prove a Calder\'on reproducing formula for the Dunkl continuous wavelet transform on $\mathbb{R}$.
Mourou, Mohamed Ali
core   +5 more sources

On relaxation phenomena in a two-component plasma [PDF]

open access: yes, 2015
The relaxation of temperatures and velocities of the components of a quasi-equilibrium two-component homogeneous completely ionized plasma is investigated on the basis of a generalization of the Chapman-Enskog method applied to the Landau kinetic ...
Chelbaevsky, Z. Yu.   +2 more
core   +4 more sources

The dual integral equation method in hydromechanical systems

open access: yesJournal of Applied Mathematics, Volume 2004, Issue 6, Page 447-460, 2004., 2004
Some hydromechanical systems are investigated by applying the dual integral equation method. In developing this method we suggest from elementary appropriate solutions of Laplace′s equation, in the domain under consideration, the introduction of a potential function which provides useful combinations in cylindrical and spherical coordinates systems ...
N. I. Kavallaris, V. Zisis
wiley   +1 more source

Integral equations of the first kind of Sonine type

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3609-3632, 2003., 2003
A Volterra integral equation of the first kind Kφ(x):≡∫−∞xk(x−t)φ(t)dt=f(x) with a locally integrable kernel k(x)∈L1loc(ℝ+1) is called Sonine equation if there exists another locally integrable kernel ℓ(x) such that ∫0xk(x−t)ℓ(t)dt≡1 (locally integrable divisors of the unit, with respect to the operation of convolution). The formal inversion φ(x)=(d/dx)
Stefan G. Samko, Rogério P. Cardoso
wiley   +1 more source

A note on Bessel function dual integral equation with weight function

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 543-549, 1988., 1987
An elementary procedure based on Sonine′s integrals has been used to reduce dual integral equations with Bessel functions of different orders as kernels and an arbitrary weight function to a Fredholm integral equation of the second kind. The result obtained here encompasses many results concerning dual integral equations with Bessel functions as ...
B. N. Mandal
wiley   +1 more source

A variant of Cowling–Price's and Miyachi's theorems for the Bessel–Struve transform on ℝd

open access: yesJournal of Taibah University for Science, 2018
In this paper, we consider the Bessel–Struve transform on $ \mathbb {R}^{d} $ . We establish new versions of Cowling–Price's and Miyachi's theorems for the Bessel–Struve transform on $ \mathbb {R}^{d} $ .
Hatem Mejjaoli, Khalifa Trimèche
doaj   +1 more source

Contact problem of torsion of a multilayer base with elastic connections between layers

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
Torsion of a multilayer base with elastic connections between layers by cylindrical punch with a flat sole was considered. The Hankel integral transform of the first order and the method of the compliance functions were used.
Nina N Antonenko, Igor G Velichko
doaj   +1 more source

Kinetic Integrals in the Kinetic Theory of dissipative gases

open access: yes, 2003
The kinetic theory of gases, including Granular Gases, is based on the Boltzmann equation. Many properties of the gas, from the characteristics of the velocity distribution function to the transport coefficients may be expressed in terms of functions of ...
Brilliantov, Nikolai V.   +1 more
core   +3 more sources

The action of Volterra integral operators with highly singular kernels on H\"older continuous, Lebesgue and Sobolev functions

open access: yes, 2017
For kernels $\nu$ which are positive and integrable we show that the operator $g\mapsto J_\nu g=\int_0^x \nu(x-s)g(s)ds$ on a finite time interval enjoys a regularizing effect when applied to H\"older continuous and Lebesgue functions and a "contractive"
Adami   +39 more
core   +1 more source

On the emergence of large and complex memory effects in nonequilibrium fluids [PDF]

open access: yes, 2019
Control of cooling and heating processes is essential in many industrial and biological processes. In fact, the time evolution of an observable quantity may differ according to the previous history of the system.
Lasanta, Antonio   +3 more
core   +3 more sources

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