Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem

作者:Li Haitong; Pei Minghe*; Wang Libo
来源:Journal of Applied Mathematics, 2014, 2014: 895862.
DOI:10.1155/2014/895862

摘要

We investigate the solvability of a fully fourth-order periodic boundary value problem of the form x((4)) = f (t, x, x', x '', x'''), x((i)) (0) = x((i))(T), i = 0, 1, 2, 3, where f : [0, T] x R-4 --> R satisfies Caratheodory conditions. By using the coincidence degree theory, the existence of nontrivial solutions is obtained. Meanwhile, as applications, some examples are given to illustrate our results.

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