Global asymptotic stability of certain third‐order nonlinear differential equations | Zendy

Zhang Lijuan | Zendy; Yu Lixin | Zendy

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Global asymptotic stability of certain third‐order nonlinear differential equations

Author(s) -

Zhang Lijuan,

Yu Lixin

Publication year - 2013

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2729

Subject(s) - mathematics , nonlinear system , exponential stability , stability (learning theory) , order (exchange) , differential equation , zero (linguistics) , third order , mathematical analysis , physics , law , computer science , linguistics , philosophy , finance , quantum mechanics , machine learning , political science , economics

In this paper, we give some sufficient conditions to guarantee global asymptotic stability of the zero solution of the third‐order nonlinear differential equation: x ′ ′ ′ + g ( x , x ′ , x ′ ′ ) + f ( x , x ′ ) x ′ + h ( x ) = 0. Two examples are also given to illustrate our results. Copyright © 2013 John Wiley & Sons, Ltd.

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