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Far East Journal of Applied Mathematics

and

can be written in the form:

The second term of the second member is class

but only class

in the opposite case. The first term of the second member is always at least absolutely continuous if u is integrable as compared to t, because

is going to smooth irregularities of

(more or less following the regularity of G, analytic or not notably).

In this paper, we show that the condition (4.7) defined by

and m are constants

and

is the semi-group of class

plays the fundamental role in the study of the asymptotic behaviour of solutions in problems of dynamic optimal control in the presence of perturbations.

Far East Journal of Applied Mathematics
Volume 31, Issue 2, Pages 217 - 230 (May 2008)

ON MODELS AND METHODS OF A DYNAMIC OPTIMAL MANAGEMENT MODEL
Raoul Bilombo (Congo) and Valeri Anastasievich Doliatovski (Congo)

Abstract:
A regular solution of the Problem 17 to

and