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Global asymptotic stability and boundedness of certain multi‐delay functional differential equations of third order
Author(s) -
Graef John R.,
Tunç Cemil
Publication year - 2014
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.3314
Subject(s) - mathematics , invariance principle , exponential stability , nonlinear system , stability (learning theory) , order (exchange) , delay differential equation , differential equation , mathematical analysis , computer science , philosophy , linguistics , physics , finance , quantum mechanics , machine learning , economics
In this paper, the authors give sufficient conditions for the boundedness and global asymptotic stability of solutions to certain nonlinear multi‐delay functional differential equations of the third order. The technique of proof involves defining an appropriate Lyapunov‐Krasovskii functional and applying LaSalle's invariance principle. An example is included to illustrate the results. Copyright © 2014 John Wiley & Sons, Ltd.