Sign-changing solution for a third-order boundary-value problem in ordered Banach space with lattice structure

Xiuli Lin, Zengqin Zhao
2014 Boundary Value Problems  
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.
doi:10.1186/1687-2770-2014-132 fatcat:irg6wtlhfjdxxodqmab37wvkta