Exact Number of Positive Solutions for a Class of Two‐Point Boundary Value Problems

Yanmin Niu and Baoqiang Yan

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: This paper considers the existence of positive solutions of the boundary value problems v′′ + λ(vr + vp − vq) = 0 and v(−1) = v(1) = 0, where p > r > q > −1 and λ is a positive parameter. Using a time‐map approach, we obtain the exact number of positive solutions in different cases.

Date: 2013
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https://doi.org/10.1155/2013/589483

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:589483

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