Calvert, BruceGupta, Chaitan P.2021-05-182021-05-182005-02-07Calvert, B., & Gupta, C. P. (2005). Existence and uniqueness of solutions to a super-linear three-point boundary-value problem. <i>Electronic Journal of Differential Equations, 2005</i>(19), p. 1-21.1072-6691https://hdl.handle.net/10877/13590In previous papers, degree theory for nonlinear operators has been used to study a class of three-point boundary-value problems for second order ordinary differential equations having a super-linear term, and existence of a sequence of solutions has been shown. In this paper, we forgo the previous approach for the shooting method, which gives a drastically simpler existence theory, with less assumptions, and easy calculation of solutions. We even obtain uniqueness in the simplest case.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalSuper-linearThree-point boundary-value problemArticle