Eloe, Paul W.; Henderson, Johnny; Khan, Rahmat Ali Uniqueness implies existence and uniqueness conditions for a class of \((k+j)\)-point boundary value problems for \(n\)-th order differential equations. (English) Zbl 1254.34029 Can. Math. Bull. 55, No. 2, 285-296 (2012). The paper deals with uniqueness and existence of solutions for a class of multipoint boundary value problems for \(n\)-th order ordinary differential equations. The authors consider so-called \(\left( k;j\right) \)-point boundary conditions and prove that uniqueness of solutions of the \(\left( n-j_{0};j_{0}\right) \)-point BVP implies unique solvability of the \(\left( k;j\right) \)-point BVP, for all \(1\leq j\leq j_{0}\) and \(1\leq k\leq n-j\). Reviewer: Radu Precup (Cluj-Napoca) Cited in 3 Documents MSC: 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations Keywords:boundary value problem; uniqueness; existence; unique solvability; nonlinear interpolation PDFBibTeX XMLCite \textit{P. W. Eloe} et al., Can. Math. Bull. 55, No. 2, 285--296 (2012; Zbl 1254.34029) Full Text: DOI Link