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.
"On the existence and uniqueness of solutions to dynamic equations,"
Turkish Journal of Mathematics: Vol. 42:
3, Article 27.
Available at: https://journals.tubitak.gov.tr/math/vol42/iss3/27