Neugebauer, Jeffrey T. The role of symmetry and concavity in the existence of solutions of a difference equation with Dirichlet boundary conditions. (English) Zbl 1454.39013 Int. J. Difference Equ. 15, No. 2, 483-491 (2020). Summary: In this paper, the layered compression-expansion fixed point theorem is applied to show the existence of solutions of a second-order difference equation with Dirichlet boundary conditions where the nonlinearity is the sum of a monotonic increasing and a monotonic decreasing function. A cone consisting of nonnegative symmetric functions that satisfy a concavity condition is integral to the analysis. Cited in 1 Document MSC: 39A10 Additive difference equations 47H10 Fixed-point theorems Keywords:difference equation; positive solution; fixed point; cone PDFBibTeX XMLCite \textit{J. T. Neugebauer}, Int. J. Difference Equ. 15, No. 2, 483--491 (2020; Zbl 1454.39013) Full Text: Link