- Tytuł:
- A remark on the linearization technique in half-linear oscillation theory
- Autorzy:
- Dosly, O.
- Powiązania:
- https://bibliotekanauki.pl/articles/255798.pdf
- Data publikacji:
- 2006
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
half-linear oscillation theory
oscillation and nonoscillation criteria
Riccati technique
perturbation principle - Opis:
- We show that oscillatory properties of the half-linear second order differential equation (r(t)Φ(x'))' + c(t)Φ(x) = 0, Φ(x) = |x|p-2x, p > 1, can be investigated via oscillatory properties of a certain associated second order linear differential equation. In contrast to paper [6], we do not need to distinguish between the cases p ≥ 2 and p ∈ (1, 2]. Our results also improve the oscillation and nonoscillation criteria given in [4].
- Źródło:
-
Opuscula Mathematica; 2006, 26, 2; 305-315
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł