Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 14, pp. 1-5.

Title:  Boundedness of solutions for a Lienard
        equation with multiple deviating arguments
   
Authors: Yuehua Yu (Hunan Univ. of Arts and Science, China)
         Changhong Zhao (Hunan Univ. of Arts and Science, China)

Abstract:
  We consider the  Lienard equation
  $$
  x''(t)+f_1 (x(t))  (x'(t))^{2}+f_2 (x(t))  x'(t)+g_0(x(t))
  +\sum_{j=1}^{m} g_{j}(x(t-\tau_{j}(t)))=p(t),
  $$
  where  $f_1$,   $f_2$,  $g_1 $ and  $g_2$ are continuous
  functions, the delays $\tau_j(t)\geq 0$  are bounded continuous,
  and $p(t)$ is a bounded continuous function.
  We obtain  sufficient conditions for all solutions and
  their derivatives to be bounded.
 
Submitted December 15, 2008. Published January 13, 2009.
Math Subject Classifications: 34C25, 34K13, 34K25.
Key Words: Lienard equation; deviating argument; bounded solution.