Existence of Periodic Solutions for a Semilinear Ordinary Differential Equation
| dc.contributor.author | Girg, Petr | |
| dc.date.accessioned | 2019-03-19T16:12:03Z | |
| dc.date.available | 2019-03-19T16:12:03Z | |
| dc.date.issued | 1998-11-20 | |
| dc.description.abstract | Dancer [3] found a necessary and sufficient condition for the existence of periodic solutions to the equation ẍ + g1 (ẋ) + g0(x) = ƒ(t). His condition is based on a functional that depends on the solution to the above equation with g0 = 0. However, that solution is not always explicitly known which makes the condition unverifiable in practical situations. As an alternative, we find computable bounds for the functional that provide a sufficient condition and a necessary condition for the existence of solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Girg, P. (1998). Existence of periodic solutions for a semilinear ordinary differential equation. Electronic Journal of Differential Equations, 1998(31), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7930 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, 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, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Ordinary differential equation | |
| dc.subject | Periodic solutions | |
| dc.title | Existence of Periodic Solutions for a Semilinear Ordinary Differential Equation | |
| dc.type | Article |