In this paper we prove the existence of a positive solution in $L^1(\Omega),$ of a Hammerstein integral equation with a nonlinear term singular at the origin. The proof is based on the convergence of the solutions of some integral equations with a regular nonlinear term, which approximate the previous.
Summable positive solutions of a Hammerstein integral equation with singular nonlinear term
COCLITE, Mario
1998-01-01
Abstract
In this paper we prove the existence of a positive solution in $L^1(\Omega),$ of a Hammerstein integral equation with a nonlinear term singular at the origin. The proof is based on the convergence of the solutions of some integral equations with a regular nonlinear term, which approximate the previous.File in questo prodotto:
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