Working on a suitable cone of continuous functions, we give new results for integral equations of the form $\lambda u(t)= \int_{G}k(t,s)f(s,u(s))\,ds := Tu(t),$ where $G$ is a compact set in $\R^{n}$ and $k$ is a possibly discontinuous function that is allowed to change sign. We apply our results to prove existence of eigenvalues of some nonlocal boundary value problems.

Eigenvalues of some nonlocal boundary value problems

INFANTE, GENNARO
2003

Abstract

Working on a suitable cone of continuous functions, we give new results for integral equations of the form $\lambda u(t)= \int_{G}k(t,s)f(s,u(s))\,ds := Tu(t),$ where $G$ is a compact set in $\R^{n}$ and $k$ is a possibly discontinuous function that is allowed to change sign. We apply our results to prove existence of eigenvalues of some nonlocal boundary value problems.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/146013
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