A note on dissipativity and permanence of delay difference equations
We give sufficient conditions on the uniform boundedness and permanence of non-autonomous multiple delay difference equations of the form xk+1 = xk fk (xk−d , . . . , xk−1 , xk where fk : D ⊆ (0, ∞) d+1 → (0, ∞). Moreover, we construct a positively invariant absorbing set of the phase space, which i...
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2018
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Differenciálegyenlet - késleltetett |
| doi: | 10.14232/ejqtde.2018.1.51 |
| Online Access: | http://acta.bibl.u-szeged.hu/58134 |
| LEADER | 01306nas a2200205 i 4500 | ||
|---|---|---|---|
| 001 | acta58134 | ||
| 005 | 20210916104251.0 | ||
| 008 | 190603s2018 hu o 0|| zxx d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2018.1.51 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Garab Ábel | |
| 245 | 1 | 2 | |a A note on dissipativity and permanence of delay difference equations |h [elektronikus dokumentum] / |c Garab Ábel |
| 260 | |c 2018 | ||
| 300 | |a 1-12 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a We give sufficient conditions on the uniform boundedness and permanence of non-autonomous multiple delay difference equations of the form xk+1 = xk fk (xk−d , . . . , xk−1 , xk where fk : D ⊆ (0, ∞) d+1 → (0, ∞). Moreover, we construct a positively invariant absorbing set of the phase space, which implies also the existence of the global (pullback) attractor if the right-hand side is continuous. The results are applicable for a wide range of single species discrete time population dynamical models, such as (non-autonomous) models by Ricker, Pielou or Clark. | |
| 695 | |a Differenciálegyenlet - késleltetett | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/58134/1/ejqtde_2018_051.pdf |z Dokumentum-elérés |