Turkish Journal of Mathematics
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, BAŞAK
(2018)
"On the existence and uniqueness of solutions to dynamic equations,"
Turkish Journal of Mathematics: Vol. 42:
No.
3, Article 27.
https://doi.org/10.3906/mat-1612-40
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss3/27
