Başak KARPUZ

7894

On the existence and uniqueness of solutions to dynamic equations

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.
Keywords:

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

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
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