Uniqueness implies existence and uniqueness conditions for a class of \((k+j)\)-point boundary value problems for \(n\)-th order differential equations
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 \(1\leq k\leq n-j\).
scientific article; zbMATH DE number 6042599