We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As anillustrative application, we use our theoretical results to prove the existence ofpositive solutions for systems of nonlinear Hammerstein integral equations. Anexample is also presented to show the applicability of our results.

A positive fixed point theorem with applications to systems of Hammerstein integral equations

INFANTE, GENNARO
2014

Abstract

We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As anillustrative application, we use our theoretical results to prove the existence ofpositive solutions for systems of nonlinear Hammerstein integral equations. Anexample is also presented to show the applicability of our results.
cone, boundary value problem, fixed point index, positive solution, nonlocal boundary condition, system
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/150719
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