Double positive solutions of three-point boundary value problems for \(p\)-Laplacian dynamic equations on time scales
Consider the \(p\)-Laplacian dynamic equation on a time scale \([\phi _p(u^\Delta (t))]^\nabla +a(t)f(u(t))=0\), \(t\in [0,T]_T,\) satisfying the boundary conditions \(u(0)-B_0(u^\Delta (\eta ))=0\), \(u^\Delta (T)=0,\) or \(u^\Delta (0)=0\), \(u(T)-B_1(u^\Delta (\eta ))=0,\) where \(\phi _p(s)\) is \(p\)-Laplacian operator. The existence of positive solutions of the mentioned equation is investigated by using a new double fixed-point theorem.
scientific article; zbMATH DE number 2184021