Results 21 to 30 of about 89 (78)

The dual integral equation method in hydromechanical systems

Journal 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

International 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

Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 131-145, 1999., 1999
The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two space dimensions. Existence and uniqueness of its classical solution is proved and the solution is constructed in the form of a series. The major term of its long‐time asymptotics is calculated explicitly and a uniform in space estimate of the residual ...
Vladimir V. Varlamov
wiley   +1 more source

A note on Bessel function dual integral equation with weight function

International 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

On generalized fractional differential equation with Sonine kernel on a function space

Partial Differential Equations in Applied Mathematics
Sonine kernel is a special type of the general kernels, satisfying some integrability and monotonicity conditions and properties. Sonine kernels generate some convolution polynomials (power functions) used in the construction of the general fractional ...
McSylvester Ejighikeme Omaba
doaj   +1 more source

Summing Sneddon–Bessel series explicitly

Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6590-6606, 15 May 2024.
We sum in a closed form the Sneddon–Bessel series ∑m=1∞Jα(xjm,ν)Jβ(yjm,ν)jm,ν2n+α+β−2ν+2Jν+1(jm,ν)2,$$ \sum \limits_{m=1}^{\infty}\frac{J_{\alpha}\left(x{j}_{m,\nu}\right){J}_{\beta}\left(y{j}_{m,\nu}\right)}{j_{m,\nu}^{2n+\alpha +\beta -2\nu +2}{J}_{\nu +1}{\left({j}_ ...
Antonio J. Durán, Mario Pérez, Juan Luis Varona   +2 more
wiley   +1 more source

Binary granular gas mixtures: Theory, layering effects and some open questions

, 2010
A theory of dilute binary granular gas mixtures comprising smooth spheres, which is formally valid for all physical values of the pertinent coefficients of restitution, is presented. Constitutive relations are obtained using the Chapman Enskog procedure,
S.H. Noskowicz, M.-L. Tan, D. Serero, I. Goldhirsch   +3 more
core   +1 more source

S. N. Bose (1894‐1974) and the Bose quantum statistics a centennial tribute

, 1993
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 4, Page 625-644, 1993.
Lokenath Debnath
wiley   +1 more source

Generalized fractional operators do not preserve periodicity

This work allows proving that the action of fractional derivatives and fractional integrals on periodic functions does not preserve the periodicity of any period.
Garrappa R., Marynets K., Gorska K., Kaslik E.   +3 more
core   +1 more source

Kinetic Theory of Polydisperse Granular Mixtures: Influence of the Partial Temperatures on Transport Properties-A Review. [PDF]

Entropy (Basel), 2022
García Chamorro M, Gómez González R, Garzó V.   +2 more
europepmc   +1 more source