A note on a beam equation with nonlinear boundary conditions.

*(English)*Zbl 1219.34028The existence of multiple positive solutions for a fourth order beam equation under nonlocal and nonlinear boundary conditions is proved. The results are obtained by the use of fixed point index theory to a perturbed Hammerstein integral equation that is equivalent to the original problem.

Reviewer: Pablo Amster (Buenos Aires)

##### MSC:

34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |

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

47N20 | Applications of operator theory to differential and integral equations |

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\textit{P. Pietramala}, Bound. Value Probl. 2011, Article ID 376782, 14 p. (2011; Zbl 1219.34028)

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