Abstract

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.

DOI

10.3906/mat-1612-40

Keywords

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

First Page

1072

Last Page

1089

Recommended Citation

KARPUZ, B (2018). On the existence and uniqueness of solutions to dynamic equations. Turkish Journal of Mathematics 42 (3): 1072-1089. https://doi.org/10.3906/mat-1612-40

Download