Boundedness of solutions for a class of Liénard equations with a deviating argument

@article{Liu2008BoundednessOS,
  title={Boundedness of solutions for a class of Li{\'e}nard equations with a deviating argument},
  author={Bingwen Liu and Lihong Huang},
  journal={Appl. Math. Lett.},
  year={2008},
  volume={21},
  pages={109-112}
}
Consider the Liénard equation with a deviating argument x (t) + f (x(t))x (t) + g1(x(t)) + g2(x(t − τ(t))) = e(t), where f, g1 and g2 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 derivatives to be bounded, which substantially extend and improve some important results from the literature. c © 2007 Elsevier Ltd. All rights… CONTINUE READING