Generalized discrete Riccati equation and oscillation of half-linear difference equations

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Authors

ŘEHÁK Pavel

Year of publication 2001
Type Article in Periodical
Magazine / Source Mathematical and Computer Modelling
MU Faculty or unit

Faculty of Education

Citation
Doi http://dx.doi.org/10.1016/S0895-7177(01)00059-0
Field General mathematics
Keywords Half-linear difference equation; Half-linear difference equation;
Description Oscillation criteria for the second order half--linear difference equation $$ \trr(r_k|\trr y_k|^{\alpha-1}\sgn\trr y_k)+p_k|y_{k+1}|^{\aj}\sgn y_{k+1}=0, \quad \alpha>1, $$ to be oscillatory are obtained. These criteria are proved using the Riccati technique.
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