Three positive solutions of three-point boundary value problems for image-Laplacian dynamic equations on time scales Original Research Article

In this paper, existence criteria of three positive solutions to the following boundary value problems for pp-Laplacian dynamic equations on time scales: View the MathML source[Φp(u△(t))]▽+a(t)f(u(t))=0,t∈[0,T]T, Turn MathJax on View the MathML sourceu△(0)=0,u(T)+B1(u△(η))=0,or Turn MathJax on View the MathML sourceu(0)−B0(u△(η))=0,u△(T)=0, Turn MathJax on are established by using the well known Leggett–Williams fixed-point theorem. An example is also given to illustrate the main results.