Search In this Thesis
   Search In this Thesis  
العنوان
Solvability of some nonlocal problems of set-valued differential and integral equations =
المؤلف
Mohamed, Somyya Saad Amragaa.
هيئة الاعداد
مشرف / Ahmed Mohamed Ahmed EL-Sayed
مشرف / Wagdy Gomaa El-Sayed
مشرف / Afaf Aboul Fotouh Saleh
مشرف / Fatma Mohamed El-Sayed Gaafar
الموضوع
nonlocal. integral equations.
تاريخ النشر
2022.
عدد الصفحات
36 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات
تاريخ الإجازة
9/6/2022
مكان الإجازة
جامعة الاسكندريه - كلية العلوم - Mathematics and Computer Science
الفهرس
Only 14 pages are availabe for public view

from 65

from 65

Abstract

This thesis concerning with the existence of solution and some of it is properties for three problem of differential inclusion with nonlocal conditions is important for applications generally. Problem 1 A Nonlocal (Two-point with Parameters) Boundary Value Problem of Differential Inclusion Here, we are concerning with the nonlinear differential inclusion 𝑑𝑥(𝑡) 𝑑(𝑡) ∈𝐹1(𝑡,𝑥(𝑡),𝐼𝛾 𝑓2 (𝑡,𝑥(𝑡))),𝛾∈(0,1),𝑡 ∈(0,1) (1) With the nonlocal two-point boundary condition 𝛼𝑥(𝜏)+𝛽𝑥(𝜂)=𝑥0 ,𝜂∈[0,1),𝛾∈(0,1],𝛼,𝛽>0. (2) We study the existence of solutions 𝑥 ∈ 𝐶[0,1] of (1)-(2). The maximal and minimal solutions and the continuous dependence of the unique solution will be study. The anti-periodic problem of (1)-(2) will be considered. (See Appendix A)