Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1985-02-28
Coefficient Control in a Linear Second Order Ordinary Differential EquationManfred Goebel and Negash Begashaw (1) Universität Halle-Wittenberg, Germany
(2) Benedict College, Columbia, USA
In this paper we deal with a control problem whose behaviour is described by the solution of a linear boundary value problem of a second order ordinary differential equation. The coefficient of the first derivative in the state equation is assumed to be the control. We prove the existence of optimal control and discuss its uniqueness. Moreover, we formulate both necessary and sufficient optimality conditions.
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Goebel Manfred, Begashaw Negash: Coefficient Control in a Linear Second Order Ordinary Differential Equation. Z. Anal. Anwend. 4 (1985), 1-12. doi: 10.4171/ZAA/132