Existence and uniqueness of positive solution for 2nth order Lidstone BVPs on time scales
In this paper, the existence and uniqueness of positive solution for 2nth order Lidstone boundary value problems on time scales are obtained by using mixed monotone method. When the time scale T is chosen as ℝ or ℤ, the problem is the corresponding continuous or discrete boundary value problem. Such boundary value problems play an important role in research of control theory.