in this paper, we investigate the goursat problem in the class c21(d)cn0 (d  p) c00 (d q)for a third order pseudoparabolic equation. some results are given concerning the existence and uniquenessfor the solution of the suggested problem.

A Goursat flag is a chain Ds ⊂ Ds−1 ⊂ D1 ⊂ D0 = TM of subbundles of the tangent bundle TM such that corank Di = i and Di−1 is generated by the vector fields in Di and their Lie brackets. Engel, Goursat, and Cartan studied these flags and established a normal form for them, valid at generic points of M . Recently Kumpera, Ruiz and Mormul discovered that Goursat flags can have singularities, and ...

In this paper, wheeled mobile robots towing trailers are used as examples of systems which can be converted into extended Goursat normal form. For some con gurations of this class of systems, a prolongation of the Pfa an system is necessary before the Goursat form can be achieved. The advantage of the Goursat form is that once the kinematic constraints are in this normal form, the point-to-poin...

in this paper, we investigate some problems which can be reduced to the goursat problem for afourth order equation. some results and theorems are given concerning the existence and uniqence for thesolution of the suggested problem.

in this paper, the goursat problem of a general form for a linear partial differential equation is investigated with the help of the riemann function method. some results are given concerning the existence and uniqueness for the solution of the suggested problem.