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Positive Solutions for Second‐Order Three‐Point Eigenvalue Problems

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  • Chuanzhi Bai

Abstract

With the help of the fixed point index theorem in cones, we get an existence theorem concerning the existence of positive solution for a second‐order three‐point eigenvalue problem x′′(t) + λf(t, x(t)) = 0, 0 ≤ t ≤ 1, x(0) = 0, x(1) = x(η), where λ is a parameter. An illustrative example is given to demonstrate the effectiveness of the obtained result.

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Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:236826
DOI: 10.1155/2010/236826
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