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A note on local stability and the m-M theorem |
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| Authors: | G. Lugo |
| Affiliation: | Department of Mathematics , University of Rhode Island , Kingston , RI , USA |
| Abstract: | We prove a lemma that gives global asymptotic stability of an equilibrium under appropriate hypotheses. This lemma may be used to strengthen the consequences of the m-M theorem without additional hypotheses. |
| Keywords: | difference equation local stability global asymptotic stability m-M theorem |