Ihor Cherevko, Andrii Dorosh, Svitlana Ilika, Dmytro Shkilniuk

Approximation of Linear Differential-Functional Equations

abstract:
Schemes for approximating solutions of initial value problems for linear differential-functional equations by solutions of Cauchy problems for special systems of ordinary linear differential equations are proposed and substantiated.

Mathematics Subject Classification: 34K06, 34K28, 34K40

Key words and phrases: Differential-functional equations, initial value problem, approximation scheme, delay, system of ordinary differential equations