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**Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions.**
*(English)*
Zbl 1200.34072

A certain non-local boundary value problem for a fourth-order nonlinear differential equation with a deviation is considered. The author investigates the problem both for advanced and delayed argument, and proves two multiplicity results by using the Avery-Peterson fixed-point theorem. An illustrative example is given as well.

Reviewer: Jiří Šremr (Brno)

### MSC:

34K10 | Boundary value problems for functional-differential equations |

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

### Keywords:

fourth-order nonlinear differential equation; integral boundary condition; positive solution; multiplicity; advanced argument; delay### References:

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