Stability and Boundedness of Solutions of Certain Non-Autonomous Third Order Nonlinear Differential Equations
| Autor: | Akinwale L. Olutimo, Folashade O. Akinwole |
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| Rok vydání: | 2016 |
| Předmět: |
Lyapunov function
Third order nonlinear Differential equation 010102 general mathematics Mathematical analysis 01 natural sciences Stability (probability) 010101 applied mathematics Third order symbols.namesake Exponential stability Bounded function Stability theory symbols 0101 mathematics Mathematics |
| Zdroj: | Journal of Applied Mathematics and Physics. :149-155 |
| ISSN: | 2327-4379 2327-4352 |
| Popis: | In this paper, by defining an appropriate Lyapunov functional, we obtain sufficient conditions for which all solutions of certain real non-autonomous third order nonlinear differential equations are asymptotically stable and bounded. The results obtained improve and extend some known results in the literature. |
| Databáze: | OpenAIRE |
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