Murty, M. S. N.; Kumar, G. Suresh Extension of Liapunov theory to five-point boundary value problems for third order differential equations. (English) Zbl 1199.34046 Novi Sad J. Math. 37, No. 1, 85-92 (2007). 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. Reviewer: Vojislav Marić (Novi Sad) MSC: 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations Keywords:three (five) point boundary value problems; Liapunov-like functions; matching solutions PDFBibTeX XMLCite \textit{M. S. N. Murty} and \textit{G. S. Kumar}, Novi Sad J. Math. 37, No. 1, 85--92 (2007; Zbl 1199.34046) Full Text: EuDML