Tea Shavadze, Tamaz Tadumadze

Existence of an Optimal Element for a Class of Neutral Optimal Problems

abstract:
In the paper, for an optimal problem containing neutral differential equation with two types of control, whose right-hand side is linear with respect to the prehistory of the phase velocity, the existence theorems of optimal element are proved. Under the element, we imply the collection of delay parameters, initial vector and control functions.

Mathematics Subject Classification: 49J25

Key words and phrases: Neutral optimal problem, optimal element, existence theorem