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Solutions to $$m$$-point boundary value problems of third order ordinary differential equations at resonance. (English) Zbl 1070.34031
The 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.

##### MSC:
 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations
##### Keywords:
boundary value problems; resonance
Full Text:
##### References:
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