Facebook Instagram Twitter RSS Feed PodBean Back to top on side

Oscillation of certain third-order quasilinear neutral differential equations

In: Mathematica Slovaca, vol. 64, no. 1
Linlin Yang - Zhiting Xu

Details:

Year, pages: 2014, 85 - 100
Keywords:
oscillation, third-order, quasilinear, neutral differential equations
About article:
In this paper, new oscillation criteria for the third-order quasilinear neutral differential equation \begin{equation*} (a(t)(z''(t))γ)'+q(t)xγ(τ(t))=0, t≥ t0, \end{equation*} are established, where $z(t)=x(t)+ p(t)x(δ(t))$, and $γ$ is a ratio of odd positive integers. Those results extend the oscillation criteria due to Sun [SUN, Y. G.: New Kamenev-type oscillation criteria for second-order nonlinear differential equations with damping, J. Math. Anal. Appl. 291 (2004) 341–351] to the equation, and complement the existing results in literature. Two examples are provided to illustrate the relevance of our main theorems.
How to cite:
ISO 690:
Yang, L., Xu, Z. 2014. Oscillation of certain third-order quasilinear neutral differential equations. In Mathematica Slovaca, vol. 64, no.1, pp. 85-100. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0189-z

APA:
Yang, L., Xu, Z. (2014). Oscillation of certain third-order quasilinear neutral differential equations. Mathematica Slovaca, 64(1), 85-100. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0189-z
About edition: