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

#### 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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