- Tytuł:
- Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, I
- Autorzy:
- Naito, Manabu
- Powiązania:
- https://bibliotekanauki.pl/articles/1397304.pdf
- Data publikacji:
- 2021
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
asymptotic behavior
nonoscillatory solution
half-linear differential equation
Hardy-type inequality - Opis:
- We consider the half-linear differential equation of the form $(p(t)|x^\prime|^\alpha \text{sgn} x^\prime)^\prime + q(t)|x|^\alpha \text{sgn} x = 0$, $t \geq t_0$, under the assumption $\int_{t_0}^\infty p(s)^(-1//\alpha) ds = \infty$. It is shown that if a certain condition is satisfied, then the above equation has a pair of nonoscillatory solutions with specific asymptotic behavior as $t →∞$.
- Źródło:
-
Opuscula Mathematica; 2021, 41, 1; 71-94
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł