Numerical solution of Hammerstein integral equations in Lp spaces
2014
scientific article
english
- Hammerstein integral equation
- successive approximation
EN In this work, we give conditions guarantee the boundedness of the Hammerstein integral operator in Lp spaces. The existence and the uniqueness of the solution of Hammerstein integral equation are treated under some assumptions affected to the successive approximation, so that we obtain the convergence of the approximate solution to the exact one. Finally, we treat numerical examples to confirm our results.
83 - 91
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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