On the Chaplyghin method for generalized solutions of partial differential functional equations.
Generalized solutions of first order partial differential functional inequalities
The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.
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