Stable manifolds for impulsive delay equations and parameter dependence
| dc.contributor.author | Bahuguna, Dhirendra | |
| dc.contributor.author | Singh, Lokesh | |
| dc.date.accessioned | 2021-10-20T14:35:46Z | |
| dc.date.available | 2021-10-20T14:35:46Z | |
| dc.date.issued | 2019-02-13 | |
| dc.description.abstract | In this article, we establish the existence of Lipschitz stable invariant manifolds for the semiflows generated by the delay differential equation x′ = L(t)xt + ƒ(t, xt, λ) with impulses at times {τi}∞i=1, assuming that the perturbation ƒ(t, xt, λ) as well as the impulses are small and the corresponding linear delay differential equation admits a nonuniform exponential dichotomy. We also show that the obtained manifolds are Lipschitz in the parameter λ. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bahuguna, D., & Singh, L. (2019). Stable manifolds for impulsive delay equations and parameter dependence. <i>Electronic Journal of Differential Equations, 2019</i>(25), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14678 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Delay impulsive equation | |
| dc.subject | Exponential dichotomy | |
| dc.subject | Stable invariant manifold | |
| dc.title | Stable manifolds for impulsive delay equations and parameter dependence | |
| dc.type | Article |