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.