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Existence of solutions for a multi-point boundary value problem with three dimension kernel at resonance. (English) Zbl 1240.34060
Summary: A multi-point boundary value problem for a third-order nonlinear differential equation is considered. Using the coincidence theorem due to Mawhin, an existence theorem is obtained.

MSC:
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
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