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
2003-01-01
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.File in questo prodotto:
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