Rontó, Miklós On non-linear boundary value problems containing parameters. (English) Zbl 1090.34519 Arch. Math., Brno 36, Suppl., 585-593 (2000). The author considers a boundary value problem for nonlinear ordinary differential equation with two parameters involving both in the equation and in the nonlinear boundary conditions. By using a suitable substitution of variables he reduces the given problem to a family of those with linear boundary conditions and some nonlinear determining equations. Then he applies an iterative method to find an approximate solution of given problem. Reviewer: Robert Hakl (Brno) MSC: 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations Keywords:parametrised boundary value problems; non-linear boundary conditions; numerical-analytic methods; successive approximation; determining equations PDF BibTeX XML Cite \textit{M. Rontó}, Arch. Math., Brno 36, 585--593 (2000; Zbl 1090.34519) Full Text: EuDML EMIS