On some difference equations of exponential form

melih göcen

Abstract


In this paper, the local asymptotic behavior of positive solutions of some exponential difference equations
x_(n+1)=(x_n+x_(n-k))/(1+x_(n-k) e^(x_(n-k) ) ) , k ∈ N, n=0,1,2,…
are investigated where the initial conditions are arbitrary positive real numbers. Furthermore, some numerical examples are presented to verify our results.

Keywords


Difference equation, Local stability, Positive solutions, Equilibrium point

Full Text:

PDF


DOI: http://dx.doi.org/10.7212%2Fzkufbd.v8i2.1366

© 2011 Karaelmas Fen ve Mühendislik Dergisi