Bifurcation from Interval and Positive Solutions of a Nonlinear Second-Order Dynamic Boundary Value Problem on Time Scales

Let be a time scale with 0,T∈. We give a global description of the branches of positive solutions to the nonlinear boundary value problem of second-order dynamic equation on a time scale , uΔΔ(t)+f(t,uσ(t))=0,  t∈[0,T],  u(0)=u(σ2(T))=0, which is not necessarily linearizable. Our approaches are based on topological degree theory and global bifurcation techniques