Shalva Gelashvili and Ivan Kiguradze

On Multi-point Boundary Value Problems for Systems of Functional Differential and Difference Equations

abstract:
New sufficient conditions of solvability and unique solvability of multi-point boundary value problems for systems of functional differential and difference equations are established. Stable difference schemes for numerical solution of multi-point differential problems are constructed.

Mathematics Subject Classification: 34K10, 65L10.

Key words and phrases: Multi-point boundary value problem, system of functional differential equations, system of functional difference equations, stable difference scheme.