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Positive solutions of fourth-order two point boundary value problems. (English) Zbl 1039.34018

Summary: By using the Krasnoselskii fixed-point theorem, we study the existence of one or multiple positive solution of the fourth-order two-point boundary value problem \(y^{(4)}(t)=f(t,y(t),y''(t))\), \(y(0)=y(1)=y''(0)=y''(1)=0\). We also give some examples to illustrate our results.

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
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