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Stability and Boundedness of Solutions of Certain Non-Autonomous Third Order Nonlinear Differential Equations

Stability and Boundedness of Solutions of Certain Non-Autonomous Third Order Nonlinear Differential Equations

作     者:Akinwale L. Olutimo Folashade O. Akinwole Akinwale L. Olutimo;Folashade O. Akinwole

作者机构:Department of Mathematics Lagos State University Ojo Nigeria 

出 版 物:《Journal of Applied Mathematics and Physics》 (应用数学与应用物理(英文))

年 卷 期:2016年第4卷第1期

页      面:149-155页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Nonlinear Differential Equations Third Order Asymptotic Stability Boundedness Lyapunov Method 

摘      要: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.

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