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Motivated by Gupta [A non-resonant multi-point boundary value problem for a p-Laplacian type operator: 143–152, 2003] and Garcia-Huidobro, Gupta, Manasevich [Nonlinear Anal. 56: 1071–1089, 2004], the solvability of multi-point boundary value problems consisting of higher-order differential equations and multi-point boundary conditions are studied in this paper, respectively. Results show us that known theorems are complemented and improved. Numerical examples are presented to demonstrate the main theorems.

Existence Results of l -Point BVP for Higher Order Differential Equations with One-Dimension p -Laplacian