Boundedness of solutions to fourth-order differential equation with oscillatory restoring and forcing terms
Date
2007-07-30
Authors
Omeike, Mathew O.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
This 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.
Description
Keywords
Fourth order differential equation, Bounded solution, Oscillatory solution, Restoring and forcing terms
Citation
Omeike, 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.
Rights
Attribution 4.0 International