Parametrically Excited Oscillations of Second-Order Functional Differential Equations and Application to Duffing Equations with Time Delay Feedback
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-16
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Pašić, Mervan. 2014. Parametrically Excited Oscillations of Second-Order Functional Differential Equations and Application to Duffing Equations with Time Delay Feedback. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-505343
Modern Language Association (MLA)
Pašić, Mervan. Parametrically Excited Oscillations of Second-Order Functional Differential Equations and Application to Duffing Equations with Time Delay Feedback. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-505343
American Medical Association (AMA)
Pašić, Mervan. Parametrically Excited Oscillations of Second-Order Functional Differential Equations and Application to Duffing Equations with Time Delay Feedback. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-505343
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505343