Ibrahim Yalçinkaya

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Recently, there has been an increasing interest in the study of qualitative analyses of rational difference equations and systems of difference equations. Difference equations appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations having applications in biology, ecology, economy, physics, and so(More)
Recently, the study of max-type difference equations attracted a considerable attention. Although max-type difference equations are relatively simple in form, it is unfortunately extremely difficult to understand thoroughly the behavior of their solutions; see, for example, 1–20 and the relevant references cited therein. The max operator arises naturally in(More)
In this paper a sufficient condition is obtained for the global asmptotic stability of the following system of difference equations zn+1 = tn + zn−1 tnzn−1 + a , tn+1 = zn + tn−1 zntn−1 + a , n = 0, 1, 2, ... where the parameter a (0,∞) and the initial values (zk, tk) (0,∞) (for k = −1, 0).
Difference equations appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations having applications in biology, ecology, economy, physics, and so on 1 . So, recently there has been an increasing interest in the study of qualitative analysis of rational difference equations and systems of difference(More)