Boundary value problems for third order differential equations by solution matching

J. Henderson, Baylor University, Waco, Texas, U.S.A.

E. J. Qualitative Theory of Diff. Equ., Spec. Ed. I, 2009 No. 14., pp. 1-9.

Abstract: For the ordinary differential equation, $y''' = f(x,y,y',$ $y''),$ solutions of 3-point boundary value problems on $[a,b]$ are matched with solutions of 3-point boundary value problems on $[b,c]$ to obtain solutions satisfying 5-point boundary conditions on $[a,c]$.

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