PL EN

Preferencje
Język
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo

## Open Mathematics

2009 | 7 | 4 | 741-756
Tytuł artykułu

### Unboundedness results for systems

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We study k th order systems of two rational difference equations $$x_n = \frac{{\alpha + \sum\nolimits_{i = 1}^k {\beta _i x_{n - i} + } \sum\nolimits_{i = 1}^k {\gamma _i y_{n - i} } }} {{A + \sum\nolimits_{j = 1}^k {B_j x_{n - j} + } \sum\nolimits_{j = 1}^k {C_j y_{n - j} } }},n \in \mathbb{N},$$ In particular we assume non-negative parameters and non-negative initial conditions. We develop several approaches which allow us to prove that unbounded solutions exist for certain initial conditions in a range of the parameters.
Słowa kluczowe
EN
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
741-756
Opis fizyczny
Daty
wydano
2009-12-01
online
2009-10-31
Twórcy
autor
• Department of Mathematics, University of Rhode Island, Kingston, USA, glugo@math.uri.edu
autor
• Department of Mathematics, University of Rhode Island, Kingston, USA, frank@math.uri.edu
Bibliografia
• [1] Camouzis E., Kulenović M.R.S., Ladas G., Merino O., Rational systems in the plane, J. Difference Equa. Appl., 2009, 15, 303–323 http://dx.doi.org/10.1080/10236190802125264[Crossref]
• [2] Camouzis E., Ladas G., Global results on rational systems in the plane, Part 1, J. Difference Equa. Appl., to appear
• [3] Camouzis E., Ladas G., Palladino F., Quinn E.P., On the boundedness character of rational equations, Part 1, J. Difference Equa. Appl., 2006, 12, 503–523 http://dx.doi.org/10.1080/10236190500539311[Crossref][WoS]
• [4] Palladino F.J., Difference inequalities, comparison tests, and some consequences, Involve, 2008, 1, 91–100
• [5] Palladino F.J., On periodic trichotomies, J. Difference Equa. Appl., 2009, 15, 605–620 http://dx.doi.org/10.1080/10236190802258677[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory