The problem of oscillation of a second order nonlinear difference system is considered and conditions for oscillation are derived by means of a complete analysis of nonoscillatory solutions. The case of systems with deviating arguments is also analyzed, and the results are shown to significantly generalize some existing ones.
Oscillation of coupled nonlinear discrete systems / M. Marini; S. Matucci; P. Řehák. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 295 (2):(2004), pp. 459-472.
Oscillation of coupled nonlinear discrete systems
MARINI, MAURO;MATUCCI, SERENA;
2004
Abstract
The problem of oscillation of a second order nonlinear difference system is considered and conditions for oscillation are derived by means of a complete analysis of nonoscillatory solutions. The case of systems with deviating arguments is also analyzed, and the results are shown to significantly generalize some existing ones.
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