Authors: S S Kharibegashvili B G Midodashvili
Publish Date: 2009/01/28
Volume: 157, Issue: 1, Pages: 119-
Abstract
Some threedimensional variants of Goursat and Darboux problems for higherorder hyperbolic equations with dominating principal part are set and investigated Conditions to the problems data which in some cases ensure the wellposedness of the problem in question and in other cases despite the solvability of the problem imply the presence of an infinite set of linearly independent solutions of corresponding homogeneous problem are found We consider both generalized and classical solutions
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