J Austral Math Soc Ser B 36 pp117--131, 1994.

On an optimization problem with cost of rapid variation of control

D. Idczak, K. Kibalczyc and S. Walczak

(Received 14 January 1993; revised 10 March 1993)

Abstract

In the paper we give sufficient conditions for the existence of a solution for a Darboux-Goursat optimization problem with a cost functional depending on the number of switchings of a control and the rapidity of its changes. An application is given to a gas absorption problem.

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Authors

D. Idczak
K. Kibalczyc
S. Walczak: Institute of Mathematics, Łódź University, ul. Stefana Banacha 22, 90-238 Łódź, Poland.