Results 141 to 150 of about 2,992 (175)

Uniqueness and Goursat problems

Annali di Matematica Pura ed Applicata, 1969
A uniqueness theorem by W. Walter for a second order Goursat problem in to independent variables is generalized. In the resulting theorem there are no restrictions on the order or on the number of indipendent variables.
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Explicit controllability criteria for Goursat problems

Optimization, 1989
In this paper necessary and sufficient rank criteria of exact controllability of linear Goursat problems with constant coefficients are derived, which are a generalization of the Kalman criterion well-known from the control theory of linear systems of ordinary differential equations.
J. Bergmann, P. Burgmeir, P. Weiher
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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).
Kovach, Yu. I., Bojtsun, S. A.
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Euler Scheme for a Stochastic Goursat Problem

Stochastic Analysis and Applications, 2004
We show the Euler approximation for the solution of a stochastic Goursat problem converges in the mean-square to its solution and obtain the rate of convergence for the Euler scheme.
Yenkun Huang, Che-Yuan Tsai
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UNIQUENESS CLASSES FOR THE SOLUTION OF GOURSAT'S PROBLEM

Mathematics of the USSR-Izvestiya, 1974
Uniqueness classes for the solution of Goursat's problem, which consists in giving Cauchy initial conditions for each of the variables , , are studied for linear partial differential equations with constant coefficients with two groups of variables: time and space .
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The Goursat problem for Maxwell’s equations

Journal of Mathematical Physics, 1990
Using the spinor formalism of electromagnetism, the Goursat problem for Maxell’s equations is defined and some examples of solutions are given.
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Goursat-Type Problem for a Higher-Order Equation

Ukrainian Mathematical Journal, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multidimensional Goursat problem for semilinear wave equations

Applied Mathematics-A Journal of Chinese Universities, 1994
The author studies the Goursat problem for semilinear wave equations in multidimensional space \[ \square u= f(x, t, u),\;(x, t)\in \Gamma,\;u|_{\partial\Gamma}= 0, \] where \((x, t)\in \mathbb{R}^{n+ 1}\), \(n\geq 2\), \(f\) is a \(C^\infty\) function of its arguments, and \(\Gamma= \{(x, t)\mid |x|\leq t\}\), \(\partial\Gamma= \{(x,t)\mid|x|= t ...
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The Goursat’s problem for generalized (fractional) hyperbolic-type equation

UZBEK MATHEMATICAL JOURNAL
We start by defining a novel bivariate Mittag-Leffler function represented by an infinite double series. Several key properties of this function are established, including differentiation formulas and an upper bound estimate. Subsequently, we consider Goursat’s problem for a fractional generalization of a hyperbolic-type equation.
Turdiev, Kh. N., Usmonov, D. A.
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The Goursat problem with integral boundary conditions

Ukrainian Mathematical Journal, 1990
Here is proved uniqueness and existence of the classical solution of a nonlinear Goursat problem with integral boundary conditions. This main result of the paper is obtained on the basis of the contraction mapping principle and the method of successive approximations. A priori estimates for the solution in question and its partial derivatives are found.
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