| Autor: |
Syed Abbas |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2018, Iss 51,, Pp 1-13 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
In this article, we establish the Picard-Lindelof theorem and approximating results for dynamic equations on time scale. We present a simple proof for the existence and uniqueness of the solution. The proof is produced by using convergence and Weierstrass M-test. Furthermore, we show that the Lispchitz condition is not necessary for uniqueness. The existence of epsilon-approximate solution is established under suitable assumptions. Moreover, we study the approximate solution of the dynamic equation with delay by studying the solution of the corresponding dynamic equation with piecewise constant argument. We show that the exponential stability is preserved in such approximations. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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