Stability, Boundedness, and Existence of Periodic Solutions to Certain Third-Order Delay Differential Equations with Multiple Deviating Arguments
Joint Authors
Ademola, A. T.
Ogundare, B. S.
Ogundiran, M. O.
Adesina, O. A.
Source
International Journal of Differential Equations
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The behaviour of solutions for certain third-order nonlinear differential equations with multiple deviating arguments is considered.
By employing Lyapunov’s second method, a complete Lyapunov functional is constructed and used to establish sufficient conditions that guarantee existence of unique solutions that are periodic, uniformly asymptotically stable, and uniformly ultimately bounded.
Obtained results not only are new but also include many outstanding results in the literature.
Finally, the correctness and effectiveness of the results are justified with examples.
American Psychological Association (APA)
Ademola, A. T.& Ogundare, B. S.& Ogundiran, M. O.& Adesina, O. A.. 2015. Stability, Boundedness, and Existence of Periodic Solutions to Certain Third-Order Delay Differential Equations with Multiple Deviating Arguments. International Journal of Differential Equations،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1065496
Modern Language Association (MLA)
Ademola, A. T.…[et al.]. Stability, Boundedness, and Existence of Periodic Solutions to Certain Third-Order Delay Differential Equations with Multiple Deviating Arguments. International Journal of Differential Equations No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1065496
American Medical Association (AMA)
Ademola, A. T.& Ogundare, B. S.& Ogundiran, M. O.& Adesina, O. A.. Stability, Boundedness, and Existence of Periodic Solutions to Certain Third-Order Delay Differential Equations with Multiple Deviating Arguments. International Journal of Differential Equations. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1065496
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065496