A numerical approach for solving hammerstein integral equations in banach spaces | [Journal of Prime Research in Mathematics • 2015]

Author(s):

1. MOSTEFA NADIR: Department of Mathematics University of Msila. Algeria.

Abstract:

In this work, we give a weaker conditions guarantee the boundedness of the Hammerstein integral equation in Lp 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 con¯rm the e±ciency of our results.

Page(s): 37-44

DOI: DOI not available

Published: Journal: Journal of Prime Research in Mathematics, Volume: 10, Issue: 1, Year: 2015

Keywords:

AMS SUBJECT , successive approximation , interpolation spaces , 45L10 and 65R20 , 45E05 , Hammerstein integral equation , 45L05 , Primary 45D05

References:

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