Twin n-point boundary value problems Original Research Article

We establish the existence of positive solutions to twin time-scale problems given by the dynamicequation −uΔ∇(t)=ηa(t)f(u(t)),t∈(t1,tn)⊂T,−uΔ∇(t)=ηa(t)f(u(t)),t∈(t1,tn)⊂T, Turn MathJax on , with boundary conditions View the MathML sourceu(t1)=∑i=2n−1αiu(ti),uΔ(tn)=0,oruΔ(t1)=0,u(tn)=∑i=2n-1αiu(ti), Turn MathJax on using a functional-type cone expansion-compression fixed-point theorem.