Multiplicity of solutions for some fourth-order m-point boundary-value problems

Abstract

Using the theory of the fixed point index in a cone and the Leray-Schauder degree, this paper investigates the existence and multiplicity of nontrivial solutions for a class of fourth order m-point boundary-value problems.

Keywords

• Fixed point index
• Leray-Schauder degree
• fourth order
• m-point boundary-value problems
• sign-changing solution