Abstract
The existence of rapidly oscillatory solutions in the Nicholson blowflies equations were investigated. The dynamics of Nicholson blowflies was described using the delay differential equation. It was shown that infinite set of positive solutions exists for delay differential equation which are rapidly oscillatory about a point. It was also found that for p/δ=e case, all solutions of equation do not oscillate.
| Original language | English |
|---|---|
| Pages (from-to) | 1033-1042 |
| Number of pages | 10 |
| Journal | Nonlinear Analysis |
| Volume | 48 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Mar 2002 |
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Keywords
- Delay equation
- Nicholson blowflies equation
- Oscillation theory
- Rapid oscillation
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
- Mathematics(all)
Cite this
On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation. / Győri, I.; Trofimchuk, Sergei I.
In: Nonlinear Analysis, Vol. 48, No. 7, 03.2002, p. 1033-1042.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation
AU - Győri, I.
AU - Trofimchuk, Sergei I.
PY - 2002/3
Y1 - 2002/3
N2 - The existence of rapidly oscillatory solutions in the Nicholson blowflies equations were investigated. The dynamics of Nicholson blowflies was described using the delay differential equation. It was shown that infinite set of positive solutions exists for delay differential equation which are rapidly oscillatory about a point. It was also found that for p/δ=e case, all solutions of equation do not oscillate.
AB - The existence of rapidly oscillatory solutions in the Nicholson blowflies equations were investigated. The dynamics of Nicholson blowflies was described using the delay differential equation. It was shown that infinite set of positive solutions exists for delay differential equation which are rapidly oscillatory about a point. It was also found that for p/δ=e case, all solutions of equation do not oscillate.
KW - Delay equation
KW - Nicholson blowflies equation
KW - Oscillation theory
KW - Rapid oscillation
UR - http://www.scopus.com/inward/record.url?scp=0036497535&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036497535&partnerID=8YFLogxK
U2 - 10.1016/S0362-546X(00)00232-7
DO - 10.1016/S0362-546X(00)00232-7
M3 - Article
VL - 48
SP - 1033
EP - 1042
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 7
ER -