حول معادلة تكاملية - تفاضلية في ثلاثة متغيرات على مقاييس الزمن
On an Integrodifferential Equation in Three Variables on Time Scales
- الباحث
- خالد محمد شويش الشرابي
- المشرف
- أكرم حسان محمود
- الجامعة
- جامعة الموصل
- الكلية / القسم
- كلية التربية للعلوم الصرفة / قسم الرياضيات
- الشهادة
- ماجستير
- السنة
- 2022
- لغة الرسالة
- عربي
- الكلمات المفتاحية
- المعادلات التكاملية التفاضلية ; مقاييس الزمن ; المتباينات التكاملية ; الوجود والوحدانية
Abstract
A This thesis presents a study of some basic properties of an integrodifferential equation in three time scales with boundary-initial conditions, as an integral inequality was obtained in three variables with an explicit guess on time scales, and we also worked to prove the existence and uniqueness of the solution to an integrodifferential in three variables on time scales using (Banach fixed point theorem) with appropriate criterion. We also used the integral inequality as a tool to prove various properties such as guesswork, convergence and continuous dependence of solutions on given initial boundary values, and parameters included in the integrodifferential equation in three variables on time scales. --- page 77 [OCR+] --- On an Integrodifferential Equation in Three Variables on Time scales A Thesis Submitted By Khaled Mohammed Shwish Al Sharaby To The Council of College of Education for Pure Science University of Mosul In Partial Fulfillment of Requirements for The Degree of M. Sc. In Mathematics Supervised By Prof. Dr. Akram Hassan Mahmood 1443 A.H. 2022 A.D. [OCR of page] On an Integrodifferential Equation in Three Variables on Time scales A Thesis Submitted By Khaled Mohammed Shwish Al Sharaby To The Council of College of Education for Pure Science University of Mosul In Partial Fulfillment of Requirements for The Degree of M. Sc. In Mathematics Supervised By Prof. Dr. Akram Hassan Mahmood 2022 A.D. 1443 A.H. --- page 78 [OCR+] --- University of Mosul College of Education For Pure Science On an Integrodifferential Equation in Three Variables on Time Scales Khaled Mohammed Shwish Al Sharaby M.Sc. Thesis Mathematics Supervised By Prof. Dr. Akram Hassan Mahmood 1443 A.H. 2022 A.D. ا [OCR of page] University of Mosul i. College of Education —— For Pure Science On an Integrodifferential Equation in Three Variables on Time Scales Khaled Mohammed Shwish Al Sharaby M.Sc. Thesis Mathematics Supervised By Prof. Dr. Akram Hassan Mahmood 2022 A.D. 1443 A.H.
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