Results 21 to 30 of about 5,520,045 (177)

Fractional Order Airy’s Type Differential Equations of Its Models Using RDTM

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
In this paper, we propose a novel reduced differential transform method (RDTM) to compute analytical and semianalytical approximate solutions of fractional order Airy’s ordinary differential equations and fractional order Airy’s and Airy’s type partial differential equations subjected to certain initial conditions.
Daba Meshesha Gusu, Dechasa Wegi, Girma Gemechu, Diriba Gemechu, Kamal Shah   +4 more
wiley   +1 more source

The generalized Goursat-Riemann problem for plane waves in isotropic elastic solids.

, 1992
The generalized Goursat-Riemann problem for plane waves in isotropic elastic ...
Tankin. Wang (7961096)
core   +6 more sources

Differential-functional Goursat problem [PDF]

, 2007
This paper is devoted to a differential-functional Goursat problem for second-order hyperbolic equations. There are proved existence results based on the Banach and Schauder fixed point theorems with some Bielecki type ...
Wojciechowski, Remigiusz
core   +1 more source

The global Goursat problem on R × S1 [PDF]

, 1989
The Goursat problem for the nonlinear wave equation (∂τ2 − ∂ϱ2) φ + g(φ) = 0 on R × S1 is treated for Goursat data φ¦c in the Sobolev space H(C) = L2, 1(C), where the lightcone C = {τ = ¦ϱ¦} is identified with S1 by means of the coordinate ϱ ϵ [−π, π ...
Zhou, Zhengfang, Baez, John C
core   +1 more source

CONFORMAL SCATTERING AND THE GOURSAT PROBLEM

Journal of Hyperbolic Differential Equations, 2004
We work on a class of non-stationary vacuum space-times admitting a conformal compactification that is smooth at null and timelike infinity. Via a conformal transformation, the existence of a scattering operator for field equations is interpreted as the well-posedness of a Goursat problem on null infinity.
Mason, L, Nicolas, J
openaire   +2 more sources

The Riemann method for equations with a dominant partial derivative (A Review) [PDF]

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
This review article is devoted to a class of linear equations with a dominant (leading) partial derivative of the form \((D+M)u=f\), where \(Du\) is a mixed partial derivative, and \(M\) is a linear differential operator containing the derivatives of the
Aleksey N. Mironov, Lubov Mironova, Julia O. Yakovleva   +2 more
doaj   +1 more source

One characteristic problem for the general hyperbolic differential equation of the third order with nonmultiple characteristics

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
In the paper we consider the well-posed characteristic problem for the general hyperbolic differential equation of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form. The illustrative example
J. O. Yakovleva
doaj   +3 more sources

BOUNDARY VALUE PROBLEM FOR A GENERALIZED TELEGRAPH EQUATION OF FRACTIONAL ORDER WITH VARIABLE COEFFICIENTS

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016
In this paper, we construct the solution to the Goursat problem for a generalized telegraph equation of fractional order with variable coefficients.
Pshibikhova R. A.
doaj   +1 more source

Initial Value Problems for System of Wave Equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2009
We present solutions to the Cauchy problem and the Goursat problem for system of wave equations. Discharged analogue d'Alembert formula for system of wave equations.
S. V. Leksina
doaj   +1 more source

On the Representation of the Goursat Boundary Problem Solution for the First Order Partial Derivatives Stochastic Hyperbolic Equations

Известия Иркутского государственного университета: Серия "Математика", 2023
We study the standard canonical form of a stochastic analog of a system of linear partial differential equations of first order hyperbolic type with Goursat boundary conditions.
K.B. Mansimov, R.O. Mastaliyev
doaj   +1 more source