MATHEMATICA BOHEMICA, Vol. 135, No. 2, pp. 163-170, 2010

Oscillation of nonlinear three-dimensional difference systems with delays

Ewa Schmeidel

Ewa Schmeidel, Institute of Mathematics, Faculty of Electrical Engineering, Poznan University of Technology, ul. Piotrowo 3a, 60-965 Poznan, Poland, e-mail: ewa.schmeidel@put.poznan.pl

Abstract: In this paper the three-dimensional nonlinear difference system
\align\Delta x_n&=a_n f(y_{n-l}),
\Delta y_n&=b_n g(z_{n-m}),
\Delta z_n&=\delta c_n h(x_{n-k}),
is investigated. Sufficient conditions under which the system is oscillatory or almost oscillatory are presented.

Keywords: difference equation, three-dimensional nonlinear system, oscillation

Classification (MSC 2010): 39A10


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