Apr 4, 2012 · In the paper, the Goursat problem—classification of nonlinear hyperbolic differential equations possessing two characteristic invariants—is ...
In this work, computer algebra systems are applied to the Goursat classification problem. In the end of the 19th century, Darboux proposed an approach to ...
In the paper, the Goursat problem--classification of nonlinear hyperbolic differential equations possessing two characteristic invariants--is considered.
In the paper, the Goursat problem—classification of nonlinear hyperbolic differential equations possessing two characteristic invariants—is considered.
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Goursat's problem asks to find a solution u(x,y) of (3) from the boundary conditions for 0<=t<=1 that is regular in Omega and continuous in the closure Omega.
In the paper, we introduce a new local invariant for Goursat structures, called the singularity type, and prove that the growth vector and the abnormal curves ...
Abstract. The Goursat problem for certain types of second order linear equations is considered. The Goursat problem for those second order equations is not ...
Goursat structures are the dual objects of E. Cartan's “systems of class zero” (also called “en drapeau” in [7]). We prove that the growth vector is not the ...
In this paper, we apply Homotopy Analysis Method (HAM) to find appropriate solutions of linear and nonlinear Goursat problems which are of utmost importance ...
Goursat-type boundary value problems for hyperbolic partial differen- tial equations of orders greater than two in rectangular domains have been examined in ...