Agarwal, Ravi P.Cetin, Erbil2019-10-272019-10-2720162191-94962191-950X2191-94962191-950Xhttps://doi.org/10.1515/anona-2015-0043https://hdl.handle.net/11454/52821We consider the following third order three-point boundary value problem on a half-line: x '''(t) + q(t)f(t, x(t), x'(t), x ''(t)) = 0, t is an element of (0, +infinity), x '(0) = A, x(eta) = B, x ''(+infinity) = C, where eta is an element of (0, +infinity), but fixed, and f : [0, +infinity) x R-3 -> R satisfies Nagumo's condition. We apply Schauder's fixed point theorem, the upper and lower solution method, and topological degree theory, to establish existence theory for at least one unbounded solution, and at least three unbounded solutions. To demonstrate the usefulness of our results, we illustrate two examples.en10.1515/anona-2015-0043info:eu-repo/semantics/closedAccessThree-point boundary value problemlower and upper solutionshalf-lineSchauder's fixed point theoremtopological degree theoryArticle52105119WOS:000375944500001Q1Q1