A study of normality and continuity for mixed integral equations

作者：Abdou M A^*; Nasr M E; Abdel Aty M A

来源：Journal of Fixed Point Theory and Applications, 2018, 20(1): UNSP 5.

DOI：10.1007/s11784-018-0490-0

• Mixed integral equations
• A linear system of Fredholm integral equations (LSFIEs)
• Resolvent kernel
• Phase-lag

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.

• 出版日期2018-3