YELOGLU, T., SUBASI, M. (2010). SIMULTANEOUS CONTROL OF THE SOURCE TERMS IN A VIBRATIONAL STRING PROBLEM. Iranian Journal of Science and Technology (Sciences), 34(1), 37-46. doi: 10.22099/ijsts.2010.2164
T. YELOGLU; M. SUBASI. "SIMULTANEOUS CONTROL OF THE SOURCE TERMS IN A VIBRATIONAL STRING PROBLEM". Iranian Journal of Science and Technology (Sciences), 34, 1, 2010, 37-46. doi: 10.22099/ijsts.2010.2164
YELOGLU, T., SUBASI, M. (2010). 'SIMULTANEOUS CONTROL OF THE SOURCE TERMS IN A VIBRATIONAL STRING PROBLEM', Iranian Journal of Science and Technology (Sciences), 34(1), pp. 37-46. doi: 10.22099/ijsts.2010.2164
YELOGLU, T., SUBASI, M. SIMULTANEOUS CONTROL OF THE SOURCE TERMS IN A VIBRATIONAL STRING PROBLEM. Iranian Journal of Science and Technology (Sciences), 2010; 34(1): 37-46. doi: 10.22099/ijsts.2010.2164
SIMULTANEOUS CONTROL OF THE SOURCE TERMS IN A VIBRATIONAL STRING PROBLEM
1Mustafa Kemal University, Faculty of Science and Literature, Department of Mathematics, Hatay, Turkey
2Ataturk University, Faculty of Science, Department of Mathematics, 25240, Erzurum, Turkey
Abstract
In this paper, simultaneous control of source terms is considered in a vibrational string problem. In the considered problem, the terms to be controlled are the force and the initial velocity functions. We state the generalized (weak) solution about the considered problem. The existence and uniqueness of the solution for optimal control problem is investigated. The Frechet derivative of the functional and the Lipschitz continuity of the gradient are investigated. Minimizing sequence is obtained by the method of the projection of the gradient.
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