Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third Order
Author(s) -
Cemil Tunç,
Melek Gözen
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/248717
Subject(s) - mathematics , third order , order (exchange) , stability (learning theory) , differential equation , functional differential equation , exponential stability , mathematical analysis , lyapunov function , functional equation , nonlinear system , philosophy , physics , theology , finance , quantum mechanics , machine learning , computer science , economics
We consider a nonautonomous functional differential equation of the third order with multiple deviating arguments. Using the Lyapunov-Krasovskiì functional approach, we give certain sufficient conditions to guarantee the asymptotic stability and uniform boundedness of the solutions
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