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Non-local problems with special gluing conditions for mixed type partial differential equation
by
Erkinjon Karimov
Junior Scientific Researcher at the Institute of mathematics and information technologies, Uzbek Academy of Sciences
We consider a non-local boundary-value problem with special gluing condition for parabolic-hyperbolic type equation with two lines of type changing. The uniquness of the solution of this problem will be proved by the "abc" method. The existence of the solution will be proved by the method of integral equations. In particular cases under certain conditions to given functions and parameters non-trivial solutions of corresponding homogeneous problem will be found.
Date received: November 13, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-04.