Positive solutions of semipositone higher-order differential equations on time scales

In this paper, we are concerned with the following 2n2nth-order differential equations on time scales {(−1)nyΔ2n(t)=g(t)f(t,y(t)),t∈[a,b],yΔ2i(a)−βi+1yΔ2i+1(a)=αi+1yΔ2i(ν),γi+1yΔ2i(ν)=yΔ2i(b),0≤i≤n−1, where ν∈(a,b)ν∈(a,b), n≥1n≥1, βi>0βi>0, 1<γi