OPTIMAL CONTROL OF SOLUTIONS TO CAUCHY PROBLEM FOR SOBOLEV TYPE EQUATION OF HIGHER ORDER

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Published: Jul 6, 2015
Keywords:
Sobolev-type equations relatively polynomially bounded operator pencil strong solutions optimal control.

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O. N. Tsyplenkova
South Ural State University

Abstract

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.

Article Details

Issue
Vol. 1 No. 2 (2014): JOURNAL OF COMPUTATIONAL AND ENGINEERING MATHEMATICS
Section
Survey Articles

References

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