Affiliation:
1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
2. College of Science, Guangxi University of Science and Technology, Liuzhou 545006, China
3. College of Computer and Electronics Information, Guangdong University of Petrochemical and Technology, Maoming 525000, China
Abstract
Consider the following system of difference equations:xn+1(i)=xn-m+1(i)/Ai∏j=0m-1xn-j(i+j+1)+αi,xn+1(i+m)=xn+1(i),x1-l(i+l)=ai,l,Ai+m=Ai,αi+m=αi,i,l=1,2,…,m;n=0,1,2,…,wheremis a positive integer,Ai,αi,i=1,2,…,m, and the initial conditionsai,l,i,l=1,2,…,m,are positive real numbers. We obtain the expressions of the positive solutions of the system and then give a precise description of the convergence of the positive solutions. Finally, we give some numerical results.
Funder
National Key Scientific Research Project
Cited by
1 articles.
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