Instability of a Fifth-Order Nonlinear Vector Delay Differential Equation with Multiple Deviating Arguments
Author(s) -
Cemil Tunç
Publication year - 2012
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2013/809748
Subject(s) - mathematics , nonlinear system , instability , order (exchange) , differential equation , delay differential equation , zero (linguistics) , mathematical analysis , first order partial differential equation , functional differential equation , stability (learning theory) , machine learning , linguistics , philosophy , physics , finance , quantum mechanics , computer science , mechanics , economics
We study a fifth-order nonlinear vector delay differential equation with multiple deviating arguments. Some criteria for guaranteeing the instability of zero solution of the equation are given by using the Lyapunov-Krasovskii functional approach. Comparing with the previous literature, our result is new and complements some known results
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