Uniqueness implies existence on a time scale

[[abstract]]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.[[notice]]補正完畢[[journaltype]]國