Davis, John M.; Henderson, Johnny Uniqueness implies existence for fourth-order Lidstone boundary value problems. (English) Zbl 0960.34011 Panam. Math. J. 8, No. 4, 23-35 (1998). Summary: The uniqueness of solutions to certain boundary value problems implies their existence for the fourth-order nonlinear ordinary differential equation \(y^{(4)}= f(x,y, y',y'', y''')\). This existence is established by using shooting methods and yields results for the 2-point, 3-point, and 4-point Lidstone boundary value problems. Cited in 1 ReviewCited in 23 Documents MSC: 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations Keywords:uniqueness; solutions; fourth-order nonlinear ordinary differential equation; Lidstone boundary value problems PDFBibTeX XMLCite \textit{J. M. Davis} and \textit{J. Henderson}, Panam. Math. J. 8, No. 4, 23--35 (1998; Zbl 0960.34011)