A new fixed point theorem on cones is applied to obtain the existence of at least two positive solutions of a higher-order three-point boundary value problem for the differential equation subject to a class of boundary value conditions. The associated Green's function is given. Some results obtained recently are generalized. 1. Introduction. The multipoint boundary value problems for ordinary d...

In this paper, the existence of multiple positive solutions for a class of third-order three-point discrete boundary value problem is studied by applying algebraic topology method. Keywords—Positive solutions, Discrete boundary value problem, Third-order, Three-point, Algebraic topology

in this paper, a numerical method is developed for solving a linear sixth order boundaryvalue problem (6vbp ) by using the hyperbolic uniform spline of order 3 (lower order). thereis proved to be first-order convergent. numerical results confirm the order of convergencepredicted by the analysis.