Uniqueness of Rapidly Oscillating Periodic Solutions to a Singularly Perturbed Differential-delay Equation
| dc.contributor.author | Krishnan, Hari P. | |
| dc.date.accessioned | 2019-12-20T20:24:42Z | |
| dc.date.available | 2019-12-20T20:24:42Z | |
| dc.date.issued | 2000-07-24 | |
| dc.description.abstract | In this paper, we prove a uniqueness theorem for rapidly oscillating periodic solutions of the singularly perturbed differential-delay equation εẋ(t) = -x(t) + ƒ(x(t - 1)). In particular, we show that, for a given oscillation rate, there exists exactly one periodic solution to the above equation. Our proof relies upon a generalization of Lin's method, and is valid under generic conditions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Krishnan, H. P. (2000). Uniqueness of rapidly oscillating periodic solutions to a singularly perturbed differential-delay equation. <i>Electronic Journal of Differential Equations, 2000</i>(56), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9123 | |
| 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, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Delay equation | |
| dc.subject | Rapidly oscillating | |
| dc.subject | Singularly perturbed | |
| dc.title | Uniqueness of Rapidly Oscillating Periodic Solutions to a Singularly Perturbed Differential-delay Equation | en_US |
| dc.type | Article |