This article is cited in 1 scientific paper (total in 1 paper)
Optimal control of solutions to Cauchy problem for Sobolev type equation of higher order
South Ural State University, Chelyabinsk, Russian Federation
An optimal control problem for the higher order Sobolev type equation with a relatively polynomially bounded operator pencil is considered. The existence and uniqueness of a strong solution to the Cauchy problem for this equation are proved. Sufficient conditions for the existence and uniqueness of an optimal control of such solutions are obtained.
Sobolev-type equations, relatively polynomially bounded operator pencil, strong solutions, optimal control.
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MSC: 35Q93, 34H05
O. Tsyplenkova, “Optimal control of solutions to Cauchy problem for Sobolev type equation of higher order”, J. Comp. Eng. Math., 1:2 (2014), 62–67
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\paper Optimal control of solutions to Cauchy problem for Sobolev type equation of higher order
\jour J. Comp. Eng. Math.
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This publication is cited in the following articles:
A. A. Zamyshlyaeva, O. N. Tsyplenkova, E. V. Bychkov, “Optimal control of solutions to the initial-final problem for the Sobolev type equation of higher order”, J. Comp. Eng. Math., 3:2 (2016), 57–67
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