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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 137 - 146 (10page)
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In this paper we study theoscillation criteria for the second order nonlinear differentialequation with delay and advanced arguments of the form\begin{equation*}\left(\left[x(t)+a(t)x(t-\sigma_1)+b(t)x(t+\sigma_2)\right]^\alpha\right)''+q(t)x^\beta(t-\tau_1)+p(t)x^\gamma(t+\tau_2)=0,~t\geq t_0\end{equation*}where $\sigma_1,~\sigma_2,~\tau_1$ and $\tau_2$ are nonnegativeconstants and $\alpha,~\beta$ and $\gamma$ are the ratios of oddpositive integers. Examples are provided to illustrate the mainresults.
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참고문헌 (23)
참고문헌 신청
R. P. Agarwal / 1997 / Oscillation criteria for second-order retarded differential equations / Math.Comput. Modelling 26(4):1~11
B. Baculikova / 2006 / Oscillation criteria for second order nonlinear differential equations / Arch. Math. 42(2):141~149
J. G. Dong / 2010 / Oscillation behavior of second order nonlinear neutral differential equa-tions with deviating arguments / Comput. Math. Appl. 59(12):3710~3717
J. Dzurina / 1994 / On the second order functional differential equations with advanced and retarded arguments / Nonlinear Times Digest 1:179~187
J. Dzurina / 2001 / Oscillation criteria for second order neutral functional differential equations / Publ. Math. Debrecen. 59(1-2):25~33
B. Baculikova / 2006 / Oscillation criteria for second order nonlinear differential equations / Arch. Math. 42(2):141~149
J. G. Dong / 2010 / Oscillation behavior of second order nonlinear neutral differential equa-tions with deviating arguments / Comput. Math. Appl. 59(12):3710~3717
J. Dzurina / 1994 / On the second order functional differential equations with advanced and retarded arguments / Nonlinear Times Digest 1:179~187
J. Dzurina / 2001 / Oscillation criteria for second order neutral functional differential equations / Publ. Math. Debrecen. 59(1-2):25~33
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