Boundedness of solutions to fourth order differential equations with oscillatory restoring and forcing terms
Date
2006-01-11
Authors
Ogundare, Babatunde S.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
This article concerns the fourth order differential equation
x(iv) + ⍺x‴ + bx″ + 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 solutions and its derivatives up to order three are bounded.
Description
Keywords
Fourth order differential equation, Bounded solution, Oscillatory solution, Restoring and forcing terms
Citation
Ogundare, B. S. (2006). Boundedness of solutions to fourth order differential equations with oscillatory restoring and forcing terms. <i>Electronic Journal of Differential Equations, 2006</i>(06), pp. 1-6.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.