Positive Solutions for Singular Complementary Lidstone Boundary Value Problems

Fanglei Wang and Yukun An

Abstract and Applied Analysis, 2011, vol. 2011, 1-13

Abstract:

By using fixed-point theorems of a cone, we investigate the existence and multiplicity of positive solutions for complementary Lidstone boundary value problems: ( − 1 ) ð ‘› ð ‘¢ ( 2 ð ‘› + 1 ) ( ð ‘¡ ) = â„Ž ( ð ‘¡ ) ð ‘“ ( ð ‘¢ ( ð ‘¡ ) ) , in 0 < ð ‘¡ < 1 , ð ‘¢ ( 0 ) = 0 , ð ‘¢ ( 2 ð ‘– + 1 ) ( 0 ) = ð ‘¢ ( 2 ð ‘– + 1 ) ( 1 ) = 0 , 0 ≤ ð ‘– ≤ ð ‘› − 1 , where ð ‘› ∈ ð ‘ .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:714728

DOI: 10.1155/2011/714728

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