Half-linear discrete oscillation theory

0359566 - MÚ 2012 HU eng C - Konferenční příspěvek (zahraniční konf.)
Řehák, Pavel
Half-linear discrete oscillation theory.
Proceedings of The 6'th Colloquium on the Qualitative Theory of Differential Equations. Szeged: Bolyai Institute, 2000, s. 1-14. ISSN 1417-3875. E-ISSN 1417-3875.
[Proceedings of The 6'th Colloquium on the Qualitative Theory of Differential Equations. Szeged (HU), 10.08.1999-14.08.1999]
Grant CEP: GA ČR GA201/98/0677; GA ČR GA201/99/0295
Výzkumný záměr: CEZ:AV0Z1019905
Klíčová slova: qualitative theory of differential equations * oscillatory properties
Kód oboru RIV: BA - Obecná matematika

Oscillatory properties of the second order half-linear difference equation $$ /trr(r_k|/trr y_k|^{/alpha-2}/trr y_k)+p_k|y_{k+1}|^{/ad}y_{k+1}=0, $$ where $/alpha>1$, are investigated. A particular attention is devoted to the connection with oscillation theory of its continuous counterpart, half--linear differential equation and also with the theory of linear differential and difference equations. We present not only the overview of the existing results but we also establish new oscillation and nonoscillation criteria.
Trvalý link: http://hdl.handle.net/11104/0197332