Please use this identifier to cite or link to this item:
http://ir.library.ui.edu.ng/handle/123456789/8103
Title: | Stability, Boundedness and periodic solutions to certain second order delay differential equations |
Authors: | Ademola, T. A. Arawomo, P. O. Idowu, A. S. |
Keywords: | Second order Nonlinear differential equation Uniform stability Uniform ultimate boundedness Existence of a unique periodic solutions |
Issue Date: | Jun-2017 |
Abstract: | Stability, boundedness and existence of a unique periodic solution to certain second order nonlinear delay differential equations is discussed. By employing Lyapunov’s direct (or second) method, a complete Lyapunov functional is constructed and used to establish sufficient conditions, on the nonlinear terms, that guarantee uniform asymptotic stability, uniform ultimate boundedness and existence of a unique periodic solution. Obtained results complement many outstanding recent results in the literature. Finally, examples are given to show the effectiveness of our method and correctness of our results. |
URI: | http://ir.library.ui.edu.ng/handle/123456789/8103 |
ISSN: | 0717-6279 |
Appears in Collections: | scholarly works |
Files in This Item:
File | Description | Size | Format | |
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(23) ui_art_ademola_stability_2017.pdf | 1.31 MB | Adobe PDF | View/Open |
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