Uniqueness implies existence for three-point boundary value problems for second order differential equations Original Research Article

Shooting methods are employed to obtain solutions of the three-point boundary value problem for the second order equation, y″=f(x,y,y′)y″=f(x,y,y′), y(x1)=y1y(x1)=y1, y(x2)−y(x3)=y2y(x2)−y(x3)=y2, where f:(a,b)×R2→Rf:(a,b)×R2→R is continuous, a