Finite-difference approximation of first-order partial differential-functional equations
We consider initial boundary-value problems of Dirichlet type for nonlinear equations. We give sufficient conditions for the convergence of a general class of one-step difference methods. We assume that the right-hand side of the equation satisfies an estimate of Perron type with respect to the functional argument.
English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 8, pp 1079-1092.
Citation Example: Finite-difference approximation of first-order partial differential-functional equations // Ukr. Mat. Zh. - 1994. - 46, № 8. - pp. 985–996.