Asymptotic behavior of a class of nonlinear difference equations
Motivated by some results of L. Berg (2002), in this paper we find the second member in the asymptotic development of some of the positive solutions of a class of difference equations of second and third orders. The main result in this paper partially solves an open problem by S. Stević (2003), and...
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| Language: | English |
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Hindawi Limited
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/47156 |
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doaj-d9c86ccb7d7e44abbcf054ecf0ac20742020-11-25T00:50:49ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/4715647156Asymptotic behavior of a class of nonlinear difference equationsStevo Stevic0Mathematical Institute, Serbian Academy of Science and Arts, Knez Mihailova 35/I, Beograd 11000, SerbiaMotivated by some results of L. Berg (2002), in this paper we find the second member in the asymptotic development of some of the positive solutions of a class of difference equations of second and third orders. The main result in this paper partially solves an open problem by S. Stević (2003), and it is applied to some classes of mathematical biology models, for example, generalized Beverton-Holt stock recruitment model, flour beetle population model, mosquito population equations, and discrete delay logistic difference equation.http://dx.doi.org/10.1155/DDNS/2006/47156 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Stevo Stevic |
| spellingShingle |
Stevo Stevic Asymptotic behavior of a class of nonlinear difference equations Discrete Dynamics in Nature and Society |
| author_facet |
Stevo Stevic |
| author_sort |
Stevo Stevic |
| title |
Asymptotic behavior of a class of nonlinear difference equations |
| title_short |
Asymptotic behavior of a class of nonlinear difference equations |
| title_full |
Asymptotic behavior of a class of nonlinear difference equations |
| title_fullStr |
Asymptotic behavior of a class of nonlinear difference equations |
| title_full_unstemmed |
Asymptotic behavior of a class of nonlinear difference equations |
| title_sort |
asymptotic behavior of a class of nonlinear difference equations |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2006-01-01 |
| description |
Motivated by some results of L. Berg (2002),
in this paper we find the second member in the asymptotic
development of some of the positive solutions of a class of difference equations
of second and third orders. The main result in this paper partially
solves an open problem by S. Stević (2003), and it is applied to some classes of mathematical biology models,
for example, generalized Beverton-Holt stock recruitment model, flour
beetle population model, mosquito population equations, and discrete delay
logistic difference equation. |
| url |
http://dx.doi.org/10.1155/DDNS/2006/47156 |
| work_keys_str_mv |
AT stevostevic asymptoticbehaviorofaclassofnonlineardifferenceequations |
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1725246359538237440 |