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YELOGLU, T., SUBASI, M.. (1389). SIMULTANEOUS CONTROL OF THE SOURCE TERMS IN A VIBRATIONAL STRING PROBLEM. , 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". , 34, 1, 1389, 37-46. doi: 10.22099/ijsts.2010.2164
YELOGLU, T., SUBASI, M.. (1389). 'SIMULTANEOUS CONTROL OF THE SOURCE TERMS IN A VIBRATIONAL STRING PROBLEM', , 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. , 1389; 34(1): 37-46. doi: 10.22099/ijsts.2010.2164

SIMULTANEOUS CONTROL OF THE SOURCE TERMS IN A VIBRATIONAL STRING PROBLEM

Iranian Journal of Science
مقاله 5، دوره 34، شماره 1، اردیبهشت 2010، صفحه 37-46    اصل مقاله (154.32 K)
شناسه دیجیتال (DOI): 10.22099/ijsts.2010.2164
نویسندگان
T. YELOGLU1؛ M. SUBASI* 2
1Mustafa Kemal University, Faculty of Science and Literature, Department of Mathematics, Hatay, Turkey
2Ataturk University, Faculty of Science, Department of Mathematics, 25240, Erzurum, Turkey
چکیده
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.
کلیدواژه‌ها
Optimal control problem؛ frechet derivative؛ projection of the gradient
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