The finite difference method for first order impulsive partial differential-functional equations
This paper concerns initial-boundary value problems for first-order impulsive partial differential-functional equations. Sufficient conditions for the convergence of a general class of one step difference methods are given. It is assumed that the given functions satisfy nonlinear estimates of Perron type with respect to the functional argument. The proof of stability is based on a theorem on difference functional inequalities generated by an impulsive differential-functional problem. It is assumed that the given functions satisfy a Volterra condition. A numerical example is given.
first-order impulsive partial differential-functional equations
scientific article; zbMATH DE number 808214
scientific article