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

## On The Question of Enclosing Solutions of Linear Functional Differential Systems

**abstract:**

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.