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On non-linear boundary value problems containing parameters. (English) Zbl 1090.34519

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
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