We generalize and improve recent results on a class of perturbed Hammerstein integral equation, in the light of a constructive fixe point theorem proved by D. Guo for noncompact decreasing operators in normally ordered Banach space. This constructive analysis is also applied to the finite dimensional nonlinear systems generated by discretization of the integral problems.
Constructive approximation for a class of perturbed Hammerstein integral equations
SOMMARIVA, ALVISE;VIANELLO, MARCO
2000
Abstract
We generalize and improve recent results on a class of perturbed Hammerstein integral equation, in the light of a constructive fixe point theorem proved by D. Guo for noncompact decreasing operators in normally ordered Banach space. This constructive analysis is also applied to the finite dimensional nonlinear systems generated by discretization of the integral problems.
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