On some difference equations of exponential form

melih göcen


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.


Difference equation, Local stability, Positive solutions, Equilibrium point

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

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