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THE SEMICLASSICAL SOLUTION FOR A CLASS OF SEMILINEAR INITIAL VALUE CONTROL PROBLEMS IN BANACH SPACE | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 13, Issue 3, 2010, Pages 161-169 | ||
| Author | ||
| Manaf Adnan Salah | ||
| Abstract | ||
| In this paper, the local existence and uniqueness of S-classical solution of a class of semilinear initial value control problems which defined as: 0 d z t g t z t Az t f t z t B t t 0 dt z 0 z w w w w w , , w , have been discussed and proved in suitable Banach spaces. All results are obtained by using Banach contraction principle and depending on the theory of analytic semigroup of control problems | ||
| Keywords | ||
| classical solution; control problem in infinite dimensional spaces; fixed point theorem and analytic semigroup theory | ||
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