- Tytuł:
- On oscillatory behaviour of third-order half-linear dynamic equations on time scales
- Autorzy:
-
Grace, Said R.
Chhatria, Gokula Nanda - Powiązania:
- https://bibliotekanauki.pl/articles/29519180.pdf
- Data publikacji:
- 2022
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
oscillation
asymptotic behaviour
dynamic equation
time scales
dynamic equations on time scales
comparison method
Riccati technique - Opis:
- In this work, we study the oscillation and asymptotic behaviour of third-order nonlinear dynamic equations on time scales. The findings are obtained using an integral criterion as well as a comparison theorem with the oscillatory properties of a first-order dynamic equation. As a consequence, we give conditions which guarantee that all solutions to the aforementioned problem are only oscillatory, different from any other result in the literature. We propose novel oscillation criteria that improve, extend, and simplify existing ones in the literature. The results are associated with a numerical example. We point out that the results are new even for the case $ \mathbb{T} = \mathbb{R} $ or $ \mathbb{T} = \mathbb{Z} $.
- Źródło:
-
Opuscula Mathematica; 2022, 42, 6; 849-865
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł