2017
Том 69
№ 9

All Issues

Finite-difference approximation of first-order partial differential-functional equations

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Abstract

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.

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