Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 104, pp. 1-8.

Title: Boundedness of solutions to fourth-order
       differential equation with oscillatory
       restoring and forcing terms

Author: Mathew O. Omeike (Univ. of Agriculture, Abeokuta, Nigeria)

Abstract:
 This paper concerns the fourth order differential equation
 $$
 x''''+ax'''+f(x'')+g(x')+h(x)=p(t).
 $$
 Using the Cauchy formula for the particular solution of
 non-homogeneous linear differential equations with constant
 coefficients, we prove that the solution and its derivatives
 up to order three are bounded.

Submitted February 13, 2007. Published July 30, 2007.
Math Subject Classifications: 34C10, 34C11.
Key Words: Fourth order differential equation; bounded solution; 
           oscillatory solution; restoring and forcing terms.