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Stability of difference equations generated by quasilinear differential functional problems

Ciarski R.

Demonstratio Mathematica

2002

Vol. 35, nr 3

557-571

The paper deals with the initial boundary value problem for quasilinear first order partial differential functional equations. A general class of difference methods for the problem is constructed. Theorems on the error estimate of approximate solutions for difference functional equations are presented. The convergence results are proved by means of consistency and stability arguments. Numerical example is given.

One-step difference methods for mixed type differential-functional equations

Jaruszewska-Walczak D.

Demonstratio Mathematica

1999

Vol. 32, nr 1

105-116

On the existence of viscosity solutions for the differential-functional Cauchy problem

Topolski K.A.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

1999

[Z] 39

207-223