Boundedness of solutions to fourth order differential equations with oscillatory restoring and forcing terms
| dc.contributor.author | Ogundare, Babatunde S. | |
| dc.date.accessioned | 2021-07-14T15:30:25Z | |
| dc.date.available | 2021-07-14T15:30:25Z | |
| dc.date.issued | 2006-01-11 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 6 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Ogundare, B. S. (2006). Boundedness of solutions to fourth order differential equations with oscillatory restoring and forcing terms. Electronic Journal of Differential Equations, 2006(06), pp. 1-6. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13879 | |
| 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, 2006, 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 equations with oscillatory restoring and forcing terms | |
| dc.type | Article |