Results 11 to 20 of about 356 (98)
Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets [PDF]
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]
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
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
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
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
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
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
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
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]
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

