Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 35, pp. 1-10.

Title: Stability and boundedness of solutions to certain
       fourth-order differential equations
       
Author: Cemil Tunc (Yil Univ., Van, Turkey)

Abstract: 
 We give criteria for the asymptotic stability and boundedness of
 solutions to the nonlinear fourth-order ordinary differential equation
 $$
 x^{(4)}+\varphi (\ddot{x})\dddot{x}+f(x,\dot{x})
 \ddot{x}+g(\dot{x})+h(x)=p(t,x,\dot{x},\ddot{x},\dddot{x})\,,
 $$
 when $p\equiv 0$ and when $p\neq 0$.
 Our results include and improve some
 well-known results in the literature.
 
Submitted November 17, 2005. Published March 21,2006.
Math Subject Classifications: 34D20, 34D99.
Key Words: Fourth order differential equations; stability; boundedness