The problem of optimal control of evolutionary systems with strong degeneration at the initial moment of time
1 Department of Mathematical Statistics and Differential Equations, Ivan Franko National University of Lviv, Lviv, 79007, Ukraine
2 (Department of Differential Equations, Ivan Franko National University of Lviv, Lviv, 79007, Ukraine
Keywords:
The problem of optimal control, moment of time
Abstract
Optimal control problems for the processes described by the hnear evolution equations on the bounded time rnterval, whmh degenerate іп mhlal time moment, are examrned. Existence and urnqueness of the optimal control are proved and some properties of one are estabhshed. In the spedal case, a solution to the problem can be derived from the Fredholm rntegral equation of the second kind.
Cite
- ACS Style
- Bokalo, M.M.; Tsebenko, A.M. The problem of optimal control of evolutionary systems with strong degeneration at the initial moment of time. Bukovinian Mathematical Journal. 2018, 2
- AMA Style
- Bokalo MM, Tsebenko AM. The problem of optimal control of evolutionary systems with strong degeneration at the initial moment of time. Bukovinian Mathematical Journal. 2018; 2(2-3).
- Chicago/Turabian Style
- Mykola Mykhailovych Bokalo, Andriy Mykolayovych Tsebenko. 2018. "The problem of optimal control of evolutionary systems with strong degeneration at the initial moment of time". Bukovinian Mathematical Journal. 2 no. 2-3.
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