Multiple positive solutions for \(p\)-Laplacian \(m\)-point boundary value problems on time scales (Q861131)

The authors study the existence of multiple positive solutions (at least twin or triple positive solutions) for the one-dimensional \(p\)-Laplacian \(m\)-point boundary value problem on a time scale \(\mathbb{T}\). The main tools are the fixed point theorems of Avery-Henderson and Leggett-Williams. The results are new even for the special cases of differential equations (\(\mathbb{T} =\mathbb{R}\)) and difference equations (\(\mathbb{T}=\mathbb{Z}\)). Finally, an example is given to illustrate the theoretical results.