On the L 1 Stability to a Generalized Degasperis-Procesi Equation

الملخص EN

A nonlinear generalized Degasperis-Procesi equation is investigated.

Assuming that the strong solution of the equation is bounded in thesense of L ∞ R -norm and the initial data belong to the space L 1 ( R ) ∩ L 2 ( R ) ,we prove that the solutions are stable in the space L 1 ( R ) .