Sign-changing solution for a third-order boundary-value problem in ordered Banach space with lattice structure
School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, P.R. China
Boundary Value Problems 2014, 2014:132 doi:10.1186/1687-2770-2014-132Published: 22 May 2014
In this paper, the sign-changing solution of a third-order two-point boundary-value problem is considered. By calculating the eigenvalues and the algebraic multiplicity of the linear problem and using a new fixed point theorem in an ordered Banach space with lattice structure, we give some conditions to guarantee the existence for a sign-changing solution.