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Zbl 1104.34310
Henderson, Johnny
Solutions of multipoint boundary value problems for second order equations.
(English)
[J] Dyn. Syst. Appl. 15, No. 1, 111-118 (2006). ISSN 1056-2176

Summary: Shooting methods are employed to obtain solutions of the second-order differential equation, $y''=f(x,y,y')$, satisfying the multipoint nonlocal boundary conditions, $y(x_0)=y_1$, $y(x_{n+1})-\sum^n_{i=1}y(x_i)=y_2$, $a< x_0<x_1<\cdots<x_{n+1}<b$, and $y_1,y_2\in\bbfR$, where $f:(a,b)\times\bbfR^2 \to\bbfR$ is continuous. It is assumed that solutions of such problems are unique, when they exist.
MSC 2000:
*34B10 Multipoint boundary value problems
34B15 Nonlinear boundary value problems of ODE

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