Geodesic
Sets invariant under an integral constraint on controls
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 69-76.

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In this paper we study the invariance of given sets with respect to a system with distributed parameters. The considered system is described by a heat conductivity equation whose right-hand side written in the additive form contains a control. For the initial data we obtain sufficient conditions for the strong and weak invariance of the set that represents the graph of a given multivalued mapping.
Mots-clés : control, weak invariance, strong invariance, concentrated parameters. 
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M. Tukhtasinov; U. Ibragimov. Sets invariant under an integral constraint on controls. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 69-76. https://geodesic-test.mathdoc.fr/item/IVM_2011_8_a8/

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