### Positive solutions for second order four-point boundary value problems at resonance

#### Abstract

Using Leggett-Williams norm-type theorem due to D. O'Regan and M. Zima,

we establish the existence of positive solution for a class of second-order

four point boundary value problem under different resonance conditions.

An example is given to illustrate the main results.

we establish the existence of positive solution for a class of second-order

four point boundary value problem under different resonance conditions.

An example is given to illustrate the main results.

#### Keywords

Four-point boundary value problem; resonance; positive solution; cone; fixed point

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