Asymptotic behavior of a system of linear fractional difference equations
<p/> <p>We investigate the global asymptotic behavior of solutions of the system of difference equations <inline-formula><graphic file="1029-242X-2005-741584-i1.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2005-741584-i2.gif&...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2005-01-01
|
| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2005/741584 |
| Summary: | <p/> <p>We investigate the global asymptotic behavior of solutions of the system of difference equations <inline-formula><graphic file="1029-242X-2005-741584-i1.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2005-741584-i2.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2005-741584-i3.gif"/></inline-formula>, where the parameters <inline-formula><graphic file="1029-242X-2005-741584-i4.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2005-741584-i5.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2005-741584-i6.gif"/></inline-formula>, and <inline-formula><graphic file="1029-242X-2005-741584-i7.gif"/></inline-formula> are positive numbers and the initial conditions <inline-formula><graphic file="1029-242X-2005-741584-i8.gif"/></inline-formula> and <inline-formula><graphic file="1029-242X-2005-741584-i9.gif"/></inline-formula> are arbitrary nonnegative numbers. We obtain some asymptotic results for the positive equilibrium of this system.</p> |
|---|---|
| ISSN: | 1025-5834 1029-242X |