Positive solutions of the singular eigenvalue problem for a higher-order differential equation on time scales

In this paper, we are concerned with the singular eigenvalue problem for 2nth-order differential equations {(−1)ny△2n(t)=μh(t)f(t,y(t)),t∈[a,b],y△2i(a)−βi+1y△2i+1(a)=αi+1y△2i(η),γi+1y△2i(η)=y△2i(b),0≤i≤n−1, where μ is a positive parameter, η∈(a,b), n≥1, βi≥0, 1<γi