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Trichotomy of a system of two difference equations
- Source :
-
Journal of Mathematical Analysis & Applications . Jan2004, Vol. 289 Issue 1, p216. 15p. - Publication Year :
- 2004
-
Abstract
- In this paper we study the boundedness and the asymptotic behavior of the positive solutions of the system of difference equations xn+1=A+<NU>∑i=1kaixn−pi</NU>/∑j=1mbjyn−qj</fr>,<hsp sp="2">yn+1=B+<fr SHAPE="BUILT" ALIGN="C" STYLE="S"><NU>∑i=1kciyn−pi</NU>/∑j=1mdjxn−qj, yn+1=B+<NU>∑i=1kciyn−pi</NU>/∑j=1mdjxn−qj, where <f>k,m∈{1,2,…}</f>, <f>A,B,ai,ci,bj,dj</f>, <f>i∈{1,…,k}</f>, <f>j∈{1,…,m}</f>, are positive constants, <f>pi</f>, <f>qj</f>, <f>i∈{1,…,k}</f>, <f>j∈{1,…,m}</f>, are positive integers such that <f>p1<p2<⋯<pk</f>, <f>q1<q2<⋯<qm</f> and the initial values <f>xi,yi</f>, <f>i∈{−π,−π+1,…,0}</f>, <f>π=max{pk,qm}</f> are positive numbers. [Copyright &y& Elsevier]
- Subjects :
- *DIFFERENTIAL equations
*ASYMPTOTES
*REAL numbers
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 289
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 11519168
- Full Text :
- https://doi.org/10.1016/j.jmaa.2003.09.046