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امكانية وجود حل وقابلية السيطرة لمسالة سيطـرة شبـه خطيـة ذات قيمـة ابتداية بواسطة اسلوب شبه الزمرة == Solvability and Controllability of Semilinear Initial Value Control Problem Via Semigroup Approach
اسم المؤلف:
مناف عدنان صالح
اسم المشرف:
راضي علي زبون الساعدي | احلام جميل خليل
الموضوع العام:
علوم الرياضيات
السنة:
2005
الموضوع الدقيق:
الرياضيات
الدرجة:
ماجستير
الجامعة:
جامعة النهرين - كلية العلوم
اللغة:
الانكليزية
مكان الجامعة:
بغداد
الصفحات الاولى:
📎 27T1046 - p.pdf
المستخلص:
The aim of this thesis is to prove the existence and uniqueness of the mild solutions of semilinear initial value control problems in a suitable Banach spaces as well as their controllability. Some theorems regarding controllability, local and global existence as well as uniqueness of the mild solution in infinite dimensional spaces have been developed in suitable Banach space using the Schauder fixed point theorem and the semigroup theory (compact semigroup). By using the Banach contraction principle and the semigroup theory (analytic semigroup) in infinite dimensional spaces, have been discussed and developed in suitable Banach spaces the local existence and uniqueness of the mild solution to the semilinear initial value control problem. Some illustrations and practical scopes of the problems have been discussed and present.
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