The uniqueness of solutions of initial value boundary value problems along with some uniqueness conditions on two-point boundary value problems imply the existence of solutions for the same boundary value problems for the second-order nonlinear dynamic equation yΔΔ = f(t, y, yΔ) on a time scale. This existence is established using shooting methods.
關聯:
Journal of Mathematical Analysis and Applications 258(1), pp.359-365