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Prof. Abd Elkareem Soliman :: Publications: |
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| Title: | Asymptotic stability and instability of the solutions of systems with impulse action |
| Authors: | A. O. Ignatyeva, O. A. Ignatyevb, A. A. Solimanc |
| Year: | 2006 |
| Keywords: | Not Available |
| Journal: | Mathematical Notes |
| Volume: | 80 |
| Issue: | 4 |
| Pages: | 516–525 |
| Publisher: | Springer Linke |
| Local/International: | International |
| Paper Link: | |
| Full paper | Abd Elkareem Soliman_000.png |
| Supplementary materials | Not Available |
| Abstract: |
In this paper, we study the stability of the zero solution of a system of ordinary differential equations subject to impulse action. Using the method of Lyapunov functions, we obtain tests for asymptotic stability or instability of the system. Illustrative examples are given. |
