Positive Solutions for Second-Order Three-Point Eigenvalue Problems

Chuanzhi Bai

Abstract and Applied Analysis, 2010, vol. 2010, 1-8

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 ) + λ f ( 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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:236826

DOI: 10.1155/2010/236826

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