Mackey-Glass type delay differential equations near the boundary of absolute stability
| dc.creator | Liz, E. | |
| dc.creator | Trofimchuk, E. | |
| dc.creator | Trofimchuk, S. | |
| dc.date | 2001-11-30 | |
| dc.date | 2002-10-10 | |
| dc.date.accessioned | 2026-07-07T04:44:52Z | |
| dc.date.available | 2026-07-07T04:44:52Z | |
| dc.description | For equations $ x'(t) = -x(t) + ζf(x(t-h)), x \in \R, f'(0)= -1, ζ> 0,$ with $C^3$-nonlinearity $f$ which has negative Schwarzian derivative and satisfies $xf(x) < 0$ for $x\not=0$, we prove convergence of all solutions to zero when both $ζ-1 >0$ and $h(ζ-1)^{1/8}$ are less than some constant (independent on $h,ζ$). This result gives additional insight to the conjecture about the equivalence between local and global asymptotical stabilities in the Mackey-Glass type delay differential equations. | |
| dc.description | 16 pages, 1 figure, accepted for publication in the Journal of Mathematical Analysis and Applications | |
| dc.identifier | https://arxiv.org/abs/math/0111318 | |
| dc.identifier | http://arxiv.org/abs/math/0111318 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62771 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 34K20 | |
| dc.title | Mackey-Glass type delay differential equations near the boundary of absolute stability | |
| dc.type | text |