Omeike, Mathew O. Boundedness of solutions to fourth-order differential equation with oscillatory restoring and forcing terms. (English) Zbl 1141.34320 Electron. J. Differ. Equ. 2007, Paper No. 104, 8 p. (2007). Summary: 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. Cited in 2 Documents MSC: 34C11 Growth and boundedness of solutions to ordinary differential equations Keywords:fourth order differential equation; bounded solution; oscillatory solution; restoring and forcing terms PDFBibTeX XMLCite \textit{M. O. Omeike}, Electron. J. Differ. Equ. 2007, Paper No. 104, 8 p. (2007; Zbl 1141.34320) Full Text: EuDML EMIS