Omeike, Mathew O.2021-08-132021-08-132007-07-30Omeike, M. O. (2007). Boundedness of solutions to fourth-order differential equation with oscillatory restoring and forcing terms. <i>Electronic Journal of Differential Equations, 2007</i>(104), pp. 1-8.1072-6691https://hdl.handle.net/10877/14320This paper concerns the fourth order differential equation x″″ + αx‴ + ƒ(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.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalFourth order differential equationBounded solutionOscillatory solutionRestoring and forcing termsBoundedness of solutions to fourth-order differential equation with oscillatory restoring and forcing termsArticle