Solvability for Two Classes of Higher-Order Multi-Point Boundary Value Problems at Resonance

Abstract

Abstract Using the theory of coincidence degree, we establish existence results of positive solutions for higher-order multi-point boundary value problems at resonance for ordinary differential equation , , with one of the following boundary conditions: , , , , , and , , , , where is a continuous function, , , , all the have not the same sign. We also give some examples to demonstrate our results.