Boundedness of Solutions To Differential Equations of Fourth Order With Oscillatory Restoring and Forcing Terms

Abstract

This paper deals with the boundedness of solutions to a nonlinear differential equation of fourth order. Using the Cauchy formula for the particular solution of nonhomogeneous differential equations with constant coefficients, we prove that the solution and its derivatives up to order three are bounded. Copyright (C) 2013 C. Tunc, and M. Ates.