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A numerical approach for solving hammerstein integral equations in banach spaces

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Title: A numerical approach for solving hammerstein integral equations in banach spaces

Authors: Mostefa Nadir

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2014

Volume: 1

Issue: 1

Language: English

Keywords: Banach spacesHammerstein integral equationsnumerical approach

Categories
Integral Equations (7) Banach Spaces (7) Functional Analysis (104) Numerical Analysis (431) Mathematics (5170)

Abstract

In this work, we give a weaker conditions guarantee the boundedness of the Hammerstein integral equation in \(L^p\) spaces, also we study conditions of the convergence of the approximate solution to the exact one of the integral equation using the successive approximations method. Finally, we treat numerical examples compared with other papers in order to confirm the efficiency of our results.

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