Displaying similar documents to “On the system of two nonlinear difference equations x n + 1 = A + x n - 1 / y n , y n + 1 = A + y n - 1 / x n .”

Bounded solutions and asymptotic stability of nonlinear difference equations in the complex plane

Eugenia N. Petropoulou, Panayiotis D. Siafarikas (2000)

Archivum Mathematicum

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An existence and uniqueness theorem for solutions in the Banach space l 1 of a nonlinear difference equation is given. The constructive character of the proof of the theorem predicts local asymptotic stability and gives information about the size of the region of attraction near equilibrium points.