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An optimal control problem with nonlocal conditions for the weakly nonlinear hyperbolic equation
Author(s) -
Guliyev H.F.,
Tagiyev H.T.
Publication year - 2012
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2018
Subject(s) - hyperbolic partial differential equation , nonlinear system , boundary value problem , mathematics , optimal control , mathematical analysis , control (management) , boundary (topology) , differential equation , computer science , mathematical optimization , physics , quantum mechanics , artificial intelligence
SUMMARY Some 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.