Results 81 to 90 of about 5,520,045 (177)

On the Levi condition for Goursat problem

Kyoto Journal of Mathematics, 1987
The author treats the following differential operator \[ (1)\quad P(D_ t,D_ x,D_ y)=\sum^{m}_{j=\ell}C_ j(D_ x,D_ y)D_ t^{m- j}=P_ m+\sum^{m}_{k=1}P_{m-k}, \] where \(C_ j(\zeta,\eta)\) is a polynomial with constant coefficients of order \(\leq j\), and \(P_ j\) is a homogeneous part of degree j of P. Let \[ P_ m(\tau,\zeta,\eta)=\prod^{n'}_{j=1}(\zeta
openaire   +3 more sources

On solvability of a nonlocal problem with integral conditions for hyperbolic equation in characteristic domain

Вестник Самарского университета: Естественнонаучная серия
In this article, we study a nonlocal problem for hyperbolic equation in characteristic domain. Additional information on desired solution is given in the form of integrals.
L. S. Pulkina, A. N. Smirnova
doaj   +1 more source

A fourth-order compact finite difference scheme for the goursat problem

, 2013
A high-order uniform Cartesian grid compact finite difference scheme for the Goursat problem is developed. The basic idea of high-order compact schemes is to find the compact approximations to the derivatives terms by differentiating centrally the ...
Nurhayati Yusoff
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Numerical Solution Of A Linear Goursat Problem Stability,Consistency And Convergence . [PDF]

, 2004
The Goursat problem, associated with hyperbolic partial differential equations, arises in several areas of applications.
Md. Ismail, Ahmad Izani, Salim Nasir, Mohd Agos   +1 more
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Nonlocal Problem for the Time-Fractional Hyperbolic-Type Equation with the Prabhakar Fractional Derivative

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
In this paper, we investigate a nonlocal boundary value problem for a time-fractional hyperbolic-type partial differential equation involving fractional derivatives of regularized Prabhakar.
Turdiev, Kh.N.
doaj   +1 more source

Generalizations of the Goursat and Darboux – Goursat – Baudot problems in spaces of generalized functions of infinite order [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
The article investigates the fundamental continuation problem for generalized solutions of systems of linear differential equations with constant coefficients P(D)u=0 in a multidimensional parallelepiped $\pi \subset \mathbb{R}^n$.
Berdimuratov, Amangeldi Muchtarovich
doaj   +1 more source

Theoretical analysis of numerical integration rule for nonlinear goursat problem

, 2016
Many nonlinear problems that arise in various science and engineering fields can be modelled by the Goursat partial differential equations. Modelling these non-linear problems using the Goursat partial differential equations has not received much ...
Husna Zayadi
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A Finite Difference Method for Numerical Solution of Goursat Problem of Partial Differential Equation [PDF]

, 2020
In this article, we report the finite difference method for numerically solving the Goursat Problem, using uniform Cartesian grids on the square region.
Pramod Kumar Pandey
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Goursat problem for the Yang-Mills-Vlasov system in temporal gauge

Electronic Journal of Differential Equations, 2011
This article studies the characteristic Cauchy problem for the Yang-Mills-Vlasov (YMV) system in temporal gauge, where the initial data are specified on two intersecting smooth characteristic hypersurfaces of Minkowski spacetime $(mathbb{R}^{4},eta )$
Marcel Dossa, Marcel Nanga
doaj  

Solvability of a nonlocal problem for a hyperbolic equation with integral conditions

Electronic Journal of Differential Equations, 2017
We study a nonlocal problem with integral conditions for a hyperbolic equation two independent variables. By introducing additional functional parameters, we investigated the solvability and construction of approximate solutions.
Anar T. Assanova
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