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On a third order nonlinear boundary value problem at resonance. (English) Zbl 0847.34026
The existence of solutions to a third order boundary value problem of the form \(x'''+ x'+ g(x, x')= p(t)\), \(x' (0)= x' (\pi)= x(\eta) =0\), \(0\leq \eta\leq \pi\), is proved and some further results and examples are given.

MSC:
34B15 Nonlinear boundary value problems for ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
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