Xu, Xian; Wang, Bingjin Multiplicity results for sign-changing solutions of an operator equation in ordered Banach space. (English) Zbl 1212.47051 Math. Bohem. 134, No. 4, 399-409 (2009). Summary: In this paper, we prove some multiplicity results for sign-changing solutions of an operator equation in an ordered Banach space. The methods to show the main results of the paper are to associate a fixed point index with a strict upper or lower solution. The results can be applied to a wide variety of boundary value problems to obtain multiplicity results for sign-changing solutions. MSC: 47J05 Equations involving nonlinear operators (general) 47H11 Degree theory for nonlinear operators 47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces 47H10 Fixed-point theorems Keywords:sign-changing solution; operator equation in ordered Banach space; fixed point index PDF BibTeX XML Cite \textit{X. Xu} and \textit{B. Wang}, Math. Bohem. 134, No. 4, 399--409 (2009; Zbl 1212.47051) Full Text: EMIS EuDML