Asymptotic properties of the solutions of the second order difference equation

Malgorzata Migda, Janusz Migda

Address. Malgorzata Migda, Institute of Mathematics, Poznan University of Technology, ul. Piotrowo 3a, 60-965 Poznan, POLAND

Janusz Migda, Institute of Mathematics, Adam Mickiewicz University, ul. Matejki 48/49, 60-769 Poznan, POLAND

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Abstract. Asymptotic properties of the solutions of the second order nonlinear difference equation (with perturbed arguments) of the form $$ \Delta^2 x_n = a_n \varphi(x_{n+k}) $$ are studied.

AMSclassification. 39A10

Keywords. Difference equation, asymptotic behaviour