Multiple positive solutions of nonlinear singular boundary value problem for fourth-order equations

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Abstract

This paper discusses existence of multiple positive solutions to singular boundary value problem (BVP) for fourth-order equations by using the fixed-point theorem of cone expansion and compression under superlinear condition, which improves and extends the results in [1–5].

Singularity
Cone
Positive solution
Fourth-order equation

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This project supported by the National Natural Science Foundation of P.R. China (10171057) and Natural Science Foundation of Shandong Province (Z2000A02).