Geodesic
Optimal control of solutions to Cauchy problem for Sobolev type equation of higher order
Journal of computational and engineering mathematics, Tome 1 (2014) no. 2, pp. 62-67

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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.
Keywords: Sobolev-type equations, relatively polynomially bounded operator pencil, strong solutions, optimal control. 
@article{JCEM_2014_1_2_a6,
     author = {O. Tsyplenkova},
     title = {Optimal control of solutions to {Cauchy} problem for {Sobolev} type equation of higher order},
     journal = {Journal of computational and engineering mathematics},
     pages = {62--67},
     publisher = {mathdoc},
     volume = {1},
     number = {2},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2014_1_2_a6/}
}
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O. Tsyplenkova. Optimal control of solutions to Cauchy problem for Sobolev type equation of higher order. Journal of computational and engineering mathematics, Tome 1 (2014) no. 2, pp. 62-67. http://geodesic.mathdoc.fr/item/JCEM_2014_1_2_a6/