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العنوان
On the Solutions of Some Problems of Differential and Integral Equations in Abstract Spaces =
المؤلف
Omar, Yasmin Mohamed Younis.
هيئة الاعداد
باحث / Yasmin Mohamed Younis Omar
مشرف / Prof. Dr. Ahmed Mohamed Ahmed EL-Sayed
مشرف / Prof. Dr. Hussein Ali Hussein Salem
مناقش / Prof. Dr. Afaf Abul Fotouh Saleh
الموضوع
Problems. Spaces.
تاريخ النشر
2022.
عدد الصفحات
102 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات
تاريخ الإجازة
11/8/2022
مكان الإجازة
جامعة الاسكندريه - كلية العلوم - Mathematics
الفهرس
Only 14 pages are availabe for public view

from 107

from 107

Abstract

We study the existence of continuous solution of a delay functional integral equation of Volterra-Stieltjes type. The continuous dependence of the unique solution will be also proved .where 𝑔𝑖∶ [0,𝑇 ]×[0,𝑇 ] → 𝑅 is nondecreasing in the second argument and 𝑑𝑠 indicates the integration w.r. to s . Here the existence of at least or exact one continuous solution 𝑥 ∈ 𝐶[0,𝑇 ] of (1) will be proved. The continues dependence of the unique solution 𝑥 ∈ 𝐶[0,𝑇 ] of (1) on the delay function 𝜑(𝑡) and the function 𝑓2 will be proved.integration w.r. to s. Here the existence of at least or exact one continuous solution 𝑥 ∈ 𝐶[0,𝑇 ] of (2) will be proved. The existence of at least or exact one absolutely continuous solution 𝑥 ∈ 𝐴𝐶[0,𝑇 ] of (3) and (4) will be proved. The continues dependence of the unique solution 𝑥 ∈ 𝐶[0,𝑇 ] of (2) and the unique solution 𝑥 ∈ 𝐴𝐶[0,𝑇 ] of (3) and (4) on the delay function 𝜑(𝑡) and the function 𝑓2 will be proved. ( See Appendix B).