Comparison theorems and strong oscillation in the half-linear discrete oscillation theory

0175394 - MU-W 20030148 RIV US eng J - Článek v odborném periodiku
Řehák, Pavel
Comparison theorems and strong oscillation in the half-linear discrete oscillation theory.
Rocky Mountain Journal of Mathematics. Roč. 33, č. 1 (2003), s. 333-352. ISSN 0035-7596. E-ISSN 1945-3795
Grant CEP: GA ČR GA201/98/0677; GA ČR GA201/99/0295
Výzkumný záměr: CEZ:AV0Z1019905; CEZ:AV0Z1019905
Klíčová slova: half-linear difference equation * comparison theorems * strong oscillation
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.187, rok: 2003

We give several various types of comparison theorems for half-linear difference equation (included the so-called telescoping principle) and also for an associated generalized Riccati difference equation. In the second part we present strongly (non)oscillation criteria and related results. The paper is finished by an example, where oscillatory properties of a generalized discrete Euler...
Trvalý link: http://hdl.handle.net/11104/0072377