TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.3, ss.1072-1089, 2018 (SCI-Expanded)
In this paper, we prove the well-known Cauchy-Peano theorem for existence of solutions to dynamic equations on time scales. Some simple examples are given to show that there may exist more than a single solution for dynamic initial value problems. Under some certain conditions, it is also shown that there exists only one solution.