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New Qualitative Results for Solutions of Functional Differential Equations of Second Order
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-09
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we are concerned with the existence of periodic solutions, stability of zero solution, asymptotic stability of zero solution, square integrability of the first derivative of solutions, and boundedness of solutions of nonlinear functional differential equations of second order by the second method of Lyapunov.
We obtain sufficient conditions guaranteeing the existence of periodic solutions, stability of zero solution, asymptotic stability of zero solution, square integrability of the first derivative of solutions, and boundedness of solutions of the equations considered.
We give an example for illustrations by MATLAB-Simulink, which shows the behaviors of the orbits.
The findings of this paper extend and improve some results that can be found in the literature.
American Psychological Association (APA)
Tunç, Cemil& Erdur, Sultan. 2018. New Qualitative Results for Solutions of Functional Differential Equations of Second Order. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152458
Modern Language Association (MLA)
Tunç, Cemil& Erdur, Sultan. New Qualitative Results for Solutions of Functional Differential Equations of Second Order. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1152458
American Medical Association (AMA)
Tunç, Cemil& Erdur, Sultan. New Qualitative Results for Solutions of Functional Differential Equations of Second Order. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152458
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152458