Positive almost periodic solutions for a class of Liénard-type systems with multiple deviating arguments
✍ Scribed by Yimin Meng; Bingwen Liu; Lihong Huang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 159 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
This paper considers the Liénard-type systems with multiple deviating arguments. Sufficient conditions for the existence and exponential stability of positive almost periodic solutions are established, which are new and complement previously known results.
📜 SIMILAR VOLUMES
In this paper, the Liénard equation with a deviating argument is studied. By applying the coincidence degree theory, we obtain some new results on the existence and uniqueness of T -periodic solutions to this equation. Our results improve and extend some existing ones in the literature.
Consider the Liénard equation with a deviating argument where f, g 1 and g 2 are continuous functions on R = (-∞, +∞), τ (t) ≥ 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