Temat: time-scales - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations
Autorzy:: Bohner, M.
Grace, S.
Sultana, N.
Powiązania:: https://bibliotekanauki.pl/articles/254969.pdf
Data publikacji:: 2014
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: dynamic equation
time scales
nonoscillation
asymptotics
Opis:: In this paper, we establish some new criteria on the asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations on time scales.
Źródło:: Opuscula Mathematica; 2014, 34, 1; 5-14
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

Informacja