Solutions to \(m\)-point boundary value problems of third order ordinary differential equations at resonance.

*(English)*Zbl 1070.34031The authors prove the existence of a solution for a multipoint boundary value problem associated to a third-order ODE whose linear part is “at resonance”, with a kernel of dimension 2. The proof uses Mawhin’s theory of the coincidence degree.

Reviewer: Alessandro Fonda (Trieste)

##### MSC:

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

34B15 | Nonlinear boundary value problems for ordinary differential equations |

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\textit{C. Xue} et al., J. Appl. Math. Comput. 17, No. 1--2, 229--244 (2005; Zbl 1070.34031)

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##### References:

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