Guedda, Mohammed2020-06-102020-06-102001-07-09Guedda, M. (2001). Note on the uniqueness of a global positive solution to the second Painleve equation. <i>Electronic Journal of Differential Equations, 2001</i>(49), pp. 1-4.1072-6691https://hdl.handle.net/10877/11606The purpose of this note is to study the uniqueness of solutions to u'' - u3 + (t - c)u = 0, for t ∈ (0, + ∞) with Neumann condition at 0. Assuming a certain condition at infinity, Helfer and Weissler [6] have found a unique solution. We show that, without any assumptions at infinity, this problem has exactly one global positive solution. Moreover, the solution behaves like as √t as t approaches infinity.Text4 pages1 file (.pdf)enAttribution 4.0 InternationalSecond Painleve equationNeumann conditionGlobal existenceArticle