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العنوان
Solvability of a coupled system of Urysohn integro-differential equations
المؤلف
Hilal, Ashwaq Abbas
هيئة الاعداد
باحث / أشواق عباس هلال
مشرف / اسامه عبد الحميد الطنطاوي
مشرف / احمد محمد احمد السيد
مناقش / اسامه عبد الحميد الطنطاوي
الموضوع
Solvability of a coupled system Urysohn integro-differential equations
تاريخ النشر
2016
عدد الصفحات
63P.:
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 thesis we are concerned with the existence and uniqueness of solution of two nonlocal boundary value problems of a coupled system of integro
- differential equations of Urysohn, Volterra and Fredholm types.
To prove the existence of a unique solution we used the Banach fixed point theorem [see(17)].
The first chapter : we collect some concepts, definitions and some auxiliary facts explored in the thesis.
The second chapter : consists of two parts, the first part deals with the existences of a unique solution in C [0, 1] or L1 [0, 1] for the integro
- differential equation of Urysohn type with nonlocal boundary condition. The second part deals with the existence of a unique solution in C [0, 1]
or L1 [0, 1] for the integro - differential equation of Volterra- Urysohn type
with the nonlocal boundary condition.
The Third chapter : consists of two parts, the first part deals with the existences of a unique solution in C [0, 1] or L1 [0, 1] for the coupled system of
integro -differential equations of Fredholm type with the nonlocal boundary conditions.
The second part deals with the existence of a unique solution in C [0, 1]
or L1 [0, 1] for the coupled system of integro- differential equations of Voltrra type with the nonlocal boundary conditions.