- Tytuł:
- Oscillation criteria for third order nonlinear delay differential equations with damping
- Autorzy:
- Grace, S. R.
- Powiązania:
- https://bibliotekanauki.pl/articles/1397865.pdf
- Data publikacji:
- 2015
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
oscillation
third order
delay differential equation - Opis:
- This note is concerned with the oscillation of third order nonlinear delay differential equations of the form (r_2(t) (r_q(t)y^\prime(t))^\prime)^\prime + p(t)y^\prime(t)+q(t)f(y(g(t))) = 0$. (*) In the papers [A.Tiryaki, M.F. Aktas, Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping, J. Math. Anal. Appl. 325 (2007), 54-68] and [M.F. Aktas, A. Tiryaki, A. Zafer, Oscillation criteria for third order nonlinear-functional differential equations, Applied Math. Letters 23 (2010), 756-762], the authors established some sufficient conditions which insure that any solution of equation (*) oscillates or converges to zero, provided that the second order equation $(r_2(t)z^\prime(t))^\prime + (p(t)//r_1(t))z(t)=0$ (**) is nonoscillatory. Here, we shall improve and unify the results given in the above mentioned papers and present some new sufficient conditions which insure that any solution of equation (*) oscillates if equation (**) is nonoscillatory. We also establish results for the oscillation of equation (*) when equation (**) is oscillatory.
- Źródło:
-
Opuscula Mathematica; 2015, 35, 4; 485-497
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł