𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.

✦ 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


Periodic solutions for a kind of Liénard
✍ Jianying Shao; Lijuan Wang; Yuehua Yu; Jinglei Zhou 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 492 KB

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.

Boundedness of solutions for a class of
✍ Bingwen Liu; Lihong Huang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 149 KB

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