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.
Cauchy-Peano theorem, Picard-Lidelof theorem, dynamic equations, time scales
"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