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Five-point boundary value problems for third-order differential equations by solution matching. (English) Zbl 1088.34508
Summary: For the ordinary differential equation $$y^{\prime\prime\prime} = f (x, y, y^{\prime}, y^{\prime\prime})$$, solutions of three-point boundary value problems on [a, b] are matched with solutions of three-point boundary value problems on [b, c] to obtain solutions satisfying five-point boundary conditions on [a, c].

##### MSC:
 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
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##### References:
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