Geodesic
To investigation of dependence of solution to controlled functional operator equation on a shift of control
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 157-158 Cet article a éte moissonné depuis la source Math-Net.Ru

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We formulate sufficient conditions of uniform (with respect to the set of admissible controls) continuous dependence of the solution to controlled functional operator equation on a shift of control along with a vector of independent variables. The shift of control may mean, in particular, some delay (or outstripping) of control by time.
Keywords: nonlinear functional operator equation, continuous dependence of solution, shift of control, delay of control.
Mots-clés : Lebesgue spaces 
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A. V. Chernov. To investigation of dependence of solution to controlled functional operator equation on a shift of control. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 157-158. http://geodesic.mathdoc.fr/item/IIMI_2012_1_a73/

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[3] Chernov A.V., “O potochechnoi otsenke raznosti reshenii upravlyaemogo funktsionalno-operatornogo uravneniya v lebegovykh prostranstvakh”, Matem. zametki, 88:2 (2010), 288–302 | DOI | MR | Zbl

[4] Chernov A.V., “Ob odnom mazhorantnom priznake totalnogo sokhraneniya globalnoi razreshimosti upravlyaemogo funktsionalno-operatornogo uravneniya”, Izv. vuzov. Matematika, 2011, no. 3, 95–107

[5] Sumin V.I., Chernov A.V., “Operatory v prostranstvakh izmerimykh funktsii: volterrovost i kvazinilpotentnost”, Differents. uravneniya, 34:10 (1998), 1402–1411 | MR | Zbl

[6] Sumin V.I., Chernov A.V., “O nekotorykh priznakakh kvazinilpotentnosti funktsionalnykh operatorov”, Izv. vuzov. Matematika, 2000, no. 2, 77–80