EIGENVALUES OF SOME NON-LOCAL BOUNDARY-VALUE PROBLEMS

Gennaro Infante

doi:10.1017/S0013091501001079

Abstract

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

AMS 2000 Mathematics subject classification: Primary 34B10. Secondary 34B18; 47H10; 47H30

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EIGENVALUES OF SOME NON-LOCAL BOUNDARY-VALUE PROBLEMS

Abstract

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

EIGENVALUES OF SOME NON-LOCAL BOUNDARY-VALUE PROBLEMS

Abstract

Keywords

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