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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.