Parametrically excited oscillations of second- order functional differential equations and application to Duffing equations with time delay feedback (CROSBI ID 209937)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Pašić, Mervan
engleski
Parametrically excited oscillations of second- order functional differential equations and application to Duffing equations with time delay feedback
We study oscillatory behaviour of a large class of second-order functional differential equations with three freedom real nonnegative parameters. According to a new oscillation criterion, we show that if at least one of these three parameters is large enough, then the main equation must be oscillatory. As an application, we study a class of Duffing type quasilinear equations with nonlinear time delayed feedback and their oscillations excited by the control gain parameter or amplitude of forcing term. Finally, some open questions and comments are given for the purpose of further study on this topic.
functional differential equations; Duffing equations; delay feedback; oscillations
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Podaci o izdanju
2014
2014.
875020-1-875020-17
objavljeno
1026-0226
10.1155/2014/875020