Geodesic
The numerical solution of the problems of optimal control to nonstationary Sobolev type model in relatively radial case
Journal of computational and engineering mathematics, Tome 2 (2015) no. 3, pp. 65-71

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In this paper we prove the existence of a unique optimal and hard control over solutions of Showalter – Sidorov problem for nonstationary model, which is described by Sobolev type equations. In this case, one of the operators in the equation is multiplied by a scalar function of the time-variable, besides stationary equation has a strong continuous degenerate resolving semigroup of operators.
Keywords: optimal control, Sobolev-type equations, relatively radial operator. 
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     author = {A. N. Shulepov},
     title = {The numerical solution of the problems of optimal control to nonstationary {Sobolev} type model in relatively radial case},
     journal = {Journal of computational and engineering mathematics},
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     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2015_2_3_a6/}
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A. N. Shulepov. The numerical solution of the problems of optimal control to nonstationary Sobolev type model in relatively radial case. Journal of computational and engineering mathematics, Tome 2 (2015) no. 3, pp. 65-71. http://geodesic.mathdoc.fr/item/JCEM_2015_2_3_a6/