Existence of Unstable Manifolds for a Certain Class of Delay Differential Equations
| dc.contributor.author | Krishnan, Hari P. ( ) | |
| dc.date.accessioned | 2020-07-31T21:13:08Z | |
| dc.date.available | 2020-07-31T21:13:08Z | |
| dc.date.issued | 2002-04-01 | |
| dc.identifier.citation | Krishnan, H. P. (2002). Existence of unstable manifolds for a certain class of delay differential equations. Electronic Journal of Differential Equations, 2002(32), pp. 1-13. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/12280 | |
| dc.description.abstract | We prove a theorem for unstable manifolds in a differential equation with a state-dependent delay. Although the equation cannot be formally linearized, we find an associated linear delay equation whose dynamics are qualitatively similar near the unstable manifold. Our proof relies upon estimates of the derivative of a trajectory on the unstable manifold near equilibrium. | en_US |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Invariant manifolds | en_US |
| dc.subject | Functional differential equations | en_US |
| dc.title | Existence of Unstable Manifolds for a Certain Class of Delay Differential Equations | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
