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An averaging principle for a class of systems of differential equations with deviating argument

✍ Scribed by A. M. Samoilenko; Kh. Z. Mustafaev


Book ID
112471526
Publisher
Springer
Year
1990
Tongue
English
Weight
411 KB
Volume
42
Category
Article
ISSN
0041-5995

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✍ Wanmin Xiong; Guangxue Yue πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 288 KB

This paper considers the fourth-order nonlinear differential equations with a deviating argument. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established, which are new and complement previously known results.

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Consider the LiΓ©nard equation with a deviating argument where f, g 1 and g 2 are continuous functions on R = (-∞, +∞), Ο„ (t) β‰₯ 0 is a bounded continuous function on R, and e(t) is a bounded continuous function on R + = [0, +∞). We obtain some new sufficient conditions for all solutions and their de