Geodesic
Uniformly continuous dependence of a~solution to a~controlled functional operator equation on a~shift of control
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2013), pp. 36-50

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We establish sufficient conditions for the uniformly (with respect to the set of admissible controls) continuous dependence of a solution to a controlled functional operator equation on a shift of control along a vector of independent variables. The shift of control may mean, in particular, some time delay (or outstripping) of the control. We illustrate the use of general results by an example of a mixed boundary value problem associated with a wave equation.
Keywords: nonlinear functional operator equation, continuous dependence of solution, shift of control, delay of control.
Mots-clés : Lebesgue spaces 
@article{IVM_2013_5_a3,
     author = {A. V. Chernov},
     title = {Uniformly continuous dependence of a~solution to a~controlled functional operator equation on a~shift of control},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {36--50},
     publisher = {mathdoc},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_5_a3/}
}
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A. V. Chernov. Uniformly continuous dependence of a~solution to a~controlled functional operator equation on a~shift of control. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2013), pp. 36-50. http://geodesic.mathdoc.fr/item/IVM_2013_5_a3/