Results 131 to 140 of about 2,992 (175)

Goursat on Pfaff's Problem

, 1924
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A generalized Goursat problem for elliptic equations

Aziz, A.K., Gilbert, R.P.
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TOEPLITZ OPERATORS IN THE ANALYTIC GOURSAT PROBLEM

TOEPLITZ OPERATORS IN THE ANALYTIC GOURSAT PROBLEM
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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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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.
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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., Sarvarova 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
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Strong scheme for a stochastic Goursat problem

Applied Mathematics and Computation, 2004
The authors construct a strong scheme for a stochastic Goursat problem and prove the mean-square convergence to its solution for the approximation generated by the strong scheme. Moreover, they obtain the rate of convergence for the strong scheme.
Huang, Shu-Shiang, Huang, Yenkun, Tsai, Che-Yuan   +2 more
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Quantum time of arrival Goursat problem

Journal of Mathematical Physics, 2012
The construction of quantum time of arrival operator conjugate to the system Hamiltonian leads to a particular linear homogeneous Goursat problem. In this work, we demonstrate how to approximate the solution of the mentioned differential equation both semi-analytically and numerically with the goal of calculating the largest eigenvalue of the ...
Sombillo, Denny Lane B., Galapon, Eric A.   +1 more
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