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العنوان
On a coupled system of functional integro- differential equations
المؤلف
Sabea, Yusri Noaman
هيئة الاعداد
باحث / يسرى نعمان سبع
مشرف / اسامه عبد الحميد الطنطاوي
مشرف / احمد محمد احمد السيد
مشرف / اسامه عبد الحميد الطنطاوي
الموضوع
On a coupled system functional integro- differential equations
تاريخ النشر
2016
عدد الصفحات
71P.:
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات
تاريخ الإجازة
10/1/2016
مكان الإجازة
جامعة الزقازيق - كلية العلوم - الرياضيات
الفهرس
Only 14 pages are availabe for public view

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Abstract

In this thesis we are concerned with the existence and uniqueness of the solutions of two nonlocal, two points, boundary value problems of coupled system of functional integro-differential equations. The thesis consists of three chapters.The first chapter contains some basic concepts, theorems and definitions which will be used in the other chapters.
The second chapter consists of two parts, the first part study the existence of a unique continuous solution in C [0, 1] and unique solution in AC [0, 1]
of the nonlocal boundary-value problems of Fredholm functional integro
-differential equation with the nonlocal boundary condition, and the second part from Volterra functional integro-differential equation with the same nonlocal boundary condition, after conversion to functional integral equation .
The third chapter consists of two parts, the first part study the existence of a unique continuous solution in C [0, 1] and unique solution in AC [0, 1] of the nonlocal boundary-value problems of the coupled system of Fred
-holm functional integro-differential equations with the nonlocal boundary
i
Conditions, and the second part from coupled system of Volterra func
-tional integro-differential equations with the same nonlocal boundary conditions, after conversion to coupled system of functional integral equations.