Abstract
UDC 517.9
We establish the oscillatory properties of a half-linear difference equation of the second order by using a suitable extension of the weighted discrete Hardy inequality.
Publisher
Institute of Mathematics National Academy of Sciences of Ukraine
Reference23 articles.
1. A. Z. Alimagambetova, R. Oinarov, Two-sided estimates for solutions of a class of second-order nonlinear difference equations (in Russian), Mat. Zh., 8, № 3(29), 12 – 21 (2008).
2. G. Bennett, Some elementary inequalities, Quart. J. Math. Oxford Ser. (2), 38, 401 – 425 (1987), https://doi.org/10.1093/qmath/38.4.401
3. G. Bennett, Some elementary inequalities, II, Quart. J. Math. Oxford Ser. (2), 39, 385 – 400 (1989), https://doi.org/10.1093/qmath/39.4.385
4. G. Bennett, Some elementary inequalities, III, Quart. J. Math. Oxford Ser. (2), 42, 149 – 174 (1991), https://doi.org/10.1093/qmath/42.1.149
5. M. S. Braverman, V. D. Stepanov, On the discrete Hardy’s inequality, Bull. London Math. Soc., 26, 283 – 287 (1994), https://doi.org/10.1112/blms/26.3.283