On the existence and uniqueness of solutions to dynamic equations

Authors : Başak Karpuz

Pages : 1072-1089

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Publication Date : 9999-12-31

Article Type : Makaleler

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