Results 111 to 120 of about 180 (151)

A GOURSAT PROBLEM FOR A POLWIBRATING EQUATION OF MANGERON

Demonstratio Mathematica, 1988
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A generalized Goursat problem for elliptic equations

Aziz, A.K., Gilbert, R.P.
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Goursat on Pfaff's Problem

, 1924
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On the Goursat classification problem

Programming and Computer Software, 2012
In the paper, the Goursat problem--classification of nonlinear hyperbolic differential equations possessing two characteristic invariants--is considered. An algorithm for finding the characteristic invariants is described. On the basis of the algorithm implemented in REDUCE, the characteristic invariants of two Laine's equations are verified.
O V Kaptsov, Kaptsov O V
exaly   +2 more sources

A nonlinear goursat problem with irregular data

Integral Transforms and Special Functions, 1998
With the help of differential algebras of(C,Ep)-type, we construct an algebra of generalized functions which allows us to solve a Gourmet problem with irregular data. For this problem, we perform a qualitative study when the data are Dirac functions.
Nuiro, Silvere, Marti, Jean-André, Valmorin, Vincent   +2 more
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Solvability of the Goursat problem in quadratures

Russian Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhegalov V I
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Multidimensional goursat problem for semilinear hyperbolic equations

Applied Mathematics, 1996
We are concerned with the following fully semilinear Goursat problem \[ Pu= f(x, t, u, \nabla u),\quad (x, t)\in \Gamma,\quad u|_{\partial \Gamma}= 0, \] where \((x, t)\in \mathbb{R}^3\), \(P\equiv P(x, t, \partial_{x_1}, \partial_{x_2}, \partial_t)= \partial^2_t+ \sum^2_{|\alpha|= 1} a_\alpha(x, t) \partial^\alpha \partial^{2- |\alpha|}+ R_1\).
Fang, Daoyuan, Gong, Xiaoqing
exaly   +2 more sources

Generalized goursat problem for a nonlinear differential equation

Ukrainian Mathematical Journal, 1984
Translation from Ukr. Mat. Zh. 36, No.1, 110-114 (Russian) (1984; Zbl 0542.35020).
Yu I Kovach
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On the numerical solution of the Goursat problem

BIT Numerical Mathematics, 1971
J T Day, Day J T
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