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Positive solution for nonlinear third-order multi-point boundary value problem at resonance. (English) Zbl 1457.34040

Summary: In this paper, positive solutions for a kind of third-order multi-point boundary value problem at resonance are investigated. By using the Leggett-Williams norm-type theorem due to O’Regan and Zima, existence result of at least one positive solution is established. An example is given to demonstrate the main results.

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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