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Extension of Liapunov theory to five-point boundary value problems for third order differential equations. (English) Zbl 1199.34046

Authors’ abstract: We present criteria for the existence and uniqueness of solutions to five-point boundary value problems associated with third order differential equations by using matching technique. Liapunov-like functions are used as a tool to establish existence and uniqueness of solutions by matching two three-point boundary value problems.

MSC:

34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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