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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
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