Acta Mathematica Vietnamica

Qualitative behavior of difference equation of order two and positive nonoscillatory solutions
Vu Van Khuong, Tran Hong Thai

 

Abstract

In the paper we deal with the qualitative behavior of solutions of the following equation:

xn+1=axn1bx2n+cx2n11dxn+exn1,n=0,1,2,

where the initial values x −1,x 0 are arbitrary positive numbers and a,b,c,d,e are positive numbers. We also study the positive nonoscillatory solutions of the difference equation

xn+1=axn1bx2n+ax2n11cxn+xn1,n=0,1,2,.

 

 

 

 

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