Boundedness of solutions to fourth-order differential equation with oscillatory restoring and forcing terms
| dc.contributor.author | Omeike, Mathew O. | |
| dc.date.accessioned | 2021-08-13T17:58:36Z | |
| dc.date.available | 2021-08-13T17:58:36Z | |
| dc.date.issued | 2007-07-30 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14320 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Fourth order differential equation | |
| dc.subject | Bounded solution | |
| dc.subject | Oscillatory solution | |
| dc.subject | Restoring and forcing terms | |
| dc.title | Boundedness of solutions to fourth-order differential equation with oscillatory restoring and forcing terms | |
| dc.type | Article |