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
Some new stability and boundedness results of solutions of Liénard type equations with a deviating argument
✍ Scribed by Cemil Tunç
- Publisher
- Elsevier
- Year
- 2010
- Tongue
- English
- Weight
- 448 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1751-570X
No coin nor oath required. For personal study only.
📜 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.
By means of Mawhin's continuation theorem, a class of p-Laplacian type differential equation with a deviating argument of the form is studied. A new result, related to β(t) and the deviating argument τ (t, |x| ∞ ), is obtained. It is significant that the growth degree with respect to the variable x
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.