Autor: Grace, Said R. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations with positive and negative terms
Autorzy:: Graef, John R.
Grace, Said R.
Tune, Ercan
Powiązania:: https://bibliotekanauki.pl/articles/255164.pdf
Data publikacji:: 2020
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: integro-differential equations fractional differential equations nonoscillatory solutions boundedness
Caputo derivative
Opis:: This paper is concerned with the asymptotic behavior of the nonoscillatory solutions of the forced fractional differential equation with positive and negative terms of the form [formula] where t ≥ c ≥ α ∈(0, 1), η ≥ 1 is the ratio of positive odd integers, and [formula] denotes the Caputo fractional derivative of y of order α. The cases [formula] are considered. The approach taken here can be applied to other related fractional differential equations. Examples are provided to illustrate the relevance of the results obtained.
Źródło:: Opuscula Mathematica; 2020, 40, 2; 227-239
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term
Autorzy:: Graef, John R.
Grace, Said R.
Tunc, Ercan
Powiązania:: https://bibliotekanauki.pl/articles/952818.pdf
Data publikacji:: 2019
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: oscillatory behavior
neutral differential equation even-order
Opis:: The authors present a new technique for the linearization of even-order nonlinear differential equations with a sublinear neutral term. They establish some new oscillation criteria via comparison with higher-order linear delay differential inequalities as well as with first-order linear delay differential equations whose oscillatory characters are known. Examples are provided to illustrate the theorems.
Źródło:: Opuscula Mathematica; 2019, 39, 1; 39-47
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

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

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