A numerical approximation for solutions of Hammerstein integral equations in Lp spaces

Authors

  • Mostefa Nadir University of Msila, Department of Mathematics
  • Bachir Gagui University of Msila, Department of Mathematics

DOI:

https://doi.org/10.11606/issn.2316-9028.v8i1p23-31

Keywords:

Hammerstein integral equation, Niemitskyi operator, Successive approximation, Interpolation spaces

Abstract

In this work, we give conditions that guarantee the existence and the uniqueness of the solution of the Hammerstein integral equation in the Lp space and under such assumptions the successive approximation converges almost everywhere to the solution of the equation. Finally, we treat numerical exemples to confirm these results.

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Issue

Vol. 8 No. 1 (2014)

Section

Articles

How to Cite

A numerical approximation for solutions of Hammerstein integral equations in Lp spaces. (2014). The São Paulo Journal of Mathematical Sciences, 8(1), 23-31. https://doi.org/10.11606/issn.2316-9028.v8i1p23-31