أعضاء هيئة التدريس - جامعة بنها
A study of normality and continuity for mixed integral equations
J. Fixed Point Theory Appl. • 2018
معلومات البحث
المؤلفون
M. A. Abdou; M. E. Nasr; M. A. Abdel-Aty
الكلمات المفتاحية
Mixed integral equations; A linear system of Fredholm integral
equations (LSFIEs); Resolvent kernel; Phase-lag.
المجلة العلمية
J. Fixed Point Theory Appl.
الناشر
Springer International Publishing AG, part of Springer Nature 2018
المجلد
20
العدد
1
الصفحات
Not Available
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Not Available
الملخص
This paper presents a numerical method for solving a mixed
Fredholm–Volterra linear integral equation of the second kind in a
Banach space. Under certain conditions, the existence and uniqueness of the solution are proved, using Banach’s fixed point theorem. Using Nystrom’s method, the problem is reduced to a system of linear integral equations, whose solution is then found by the resolvent method.
The ideas are interesting and this area caught the attention of many
researchers, having so many applications. This paper starts with a brief introduction in the subject and then proposes a new scheme which is discussed in details. The numerical examples in Sect. 6 illustrate the applicability of the theoretical results.
Fredholm–Volterra linear integral equation of the second kind in a
Banach space. Under certain conditions, the existence and uniqueness of the solution are proved, using Banach’s fixed point theorem. Using Nystrom’s method, the problem is reduced to a system of linear integral equations, whose solution is then found by the resolvent method.
The ideas are interesting and this area caught the attention of many
researchers, having so many applications. This paper starts with a brief introduction in the subject and then proposes a new scheme which is discussed in details. The numerical examples in Sect. 6 illustrate the applicability of the theoretical results.