An optimal control problem with nonlocal conditions for the weakly nonlinear hyperbolic equation

An optimal control problem with nonlocal conditions for the weakly nonlinear hyperbolic equation

SUMMARYSome problems in physics and engineering may be effectively described in terms of nonlocal problems for differential equations. These nonlocal conditions show that some data on the boundary cannot be measured, and therefore some averaged data of the problem are given. In the present paper, ne...

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Veröffentlicht in:Optimal control applications & methods 2013-03, Vol.34 (2), p.216-235
Hauptverfasser: Guliyev, H.F., Tagiyev, H.T.
Format: Artikel
Sprache:eng
Schlagworte:
Boundaries
Boundary conditions
Differential equations
hyperbolic equations
Mathematical analysis
Optimal control
Optimization
weak nonlinearity
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Zusammenfassung:SUMMARYSome problems in physics and engineering may be effectively described in terms of nonlocal problems for differential equations. These nonlocal conditions show that some data on the boundary cannot be measured, and therefore some averaged data of the problem are given. In the present paper, necessary conditions of optimality in the optimal control problem are derived for hyperbolic equations with nonlocal boundary conditions. Copyright © 2012 John Wiley & Sons, Ltd.
ISSN:0143-2087
1099-1514
DOI:10.1002/oca.2018