Existence of positive solutions to singular \(p\)-Laplacian general Dirichlet boundary value problems with sign changing nonlinearity
Summary: By using the well-known Schauder fixed point theorem and upper and lower solution method, we present some existence criteria for positive solutions of an \(m\)-point singular \(p\)-Laplacian dynamic equation on time scales with sign changing nonlinearity. These results are new even for the corresponding differential (\(\mathbb T=\mathbb R\)) and difference equations (\(\mathbb T=\mathbb Z\)), as well as in general time scales setting. As an application, an example is given to illustrate the results.
scientific article; zbMATH DE number 5574400
scientific article