Uniqueness result for the generalized entropy solutions to the Cauchy problem for first-order partial differential-functional equations
The authors prove a theorem on differential functional inequalities in the Caratheodory sense. The proof in based on the fact that they can solve a linear differential equation with first-order partial derivatives. They obtain a theorem on the uniqueness of generalized entropy solutions to the initial-value problem for nonlinear partial differential-functional equations of the first order.
differential functional inequalities in the Caratheodory sense
uniqueness of generalized entropy solutions
scientific article; zbMATH DE number 627648