文章基本信息

标题：Periodicity, Stability, and Boundedness of Solutions to Certain Second Order Delay Differential Equations
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作者：A. T. Ademola ; B. S. Ogundare ; M. O. Ogundiran 等
期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2016
卷号：2016
DOI：10.1155/2016/2843709
出版社：Hindawi Publishing Corporation
摘要：The behaviour of solutions to certain second order nonlinear delay differential equations with variable deviating arguments is discussed. The main procedure lies in the properties of a complete Lyapunov functional which is used to obtain suitable criteria to guarantee existence of unique solutions that are periodic, uniformly asymptotically stable, and uniformly ultimately bounded. Obtained results are new and also complement related ones that have appeared in the literature. Moreover, examples are given to illustrate the feasibility and correctness of the main results.