Multiple positive solutions for pp-Laplacian functional dynamic equations on time scales

The authors improve some well-known fixed point theorems and study the boundary value problems for a pp-Laplacian functional dynamic equation on a time scale, {[ϕp(x△(t))]∇+a(t)f(x(t),x(μ(t)))=0,t∈(0,T),x0(t)=ψ(t),t∈[−r,0],x(0)−B0(x△(0))=0,x△(T)=0. By using the fixed point theorems, sufficient conditions are established for the existence of multiple positive solutions.