V. P. Maksimov and J. S. P. Munembe

On The Question of Enclosing Solutions of Linear Functional Differential Systems

A technique of constructing guaranteed a posteriori error bounds for approximate solutions of the Initial Value Problem and some Boundary Value Problems for linear functional differential equations is described. The main point of the consideration is construction of an approximation for the Cauchy matrix with the corresponding error bound. The described approach allows to develop a software oriented to solving some real problems in economic dynamics.

Mathematics Subject Classification: 34A30, 34A50, 34B27, 34K10, 65R20, 65G99.

Key words and phrases: Linear functional differential equations, boundary value problems, Cauchy matrix, Green matrix, approximate solutions, error bounds, computer-assisted methods.