Oscillation criteria for second order half-linear difference equations

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Authors

ŘEHÁK Pavel

Year of publication 2001
Type Article in Periodical
Magazine / Source Journal of Difference Eq. and Appl.
MU Faculty or unit

Faculty of Education

Citation
Doi http://dx.doi.org/10.1080/10236190108808284
Field General mathematics
Keywords Half-linear difference equation; Riccati technique; discrete oscillation criteria
Description New oscillation criteria for the second order half-linear difference equation $$ \trr(|\trr y_k|^{\alpha-1}\sgn\trr y_k)+p_k|y_{k+1}|^{\aj}\sgn y_{k+1}=0, \quad \alpha>1, $$ are established via the Riccati technique.
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