Oscillation theorems for second-order superlinear neutral differential equations

Rok, strany: 2013, 123 - 134

The purpose of this paper is to investigate the oscillation of the second-order neutral differential equations of the form \begin{equation*} (r(t)|z'(t)|^α-1z'(t))' +q(t)|x(σ(t))|^α-1x(σ(t))=0, \tag{E} \end{equation*} where $z(t)=x(t)+p(t)x(τ(t))$. The obtained comparison principles essentially simplify the examination of the studied equations. Further, our results extend and improve the results in the literature.

ISO 690:

Baculíková, B., Li, T., Džurina, J. 2013. Oscillation theorems for second-order superlinear neutral differential equations. In Mathematica Slovaca, vol. 63, no.1, pp. 123-134. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0087-9

APA:

Baculíková, B., Li, T., Džurina, J. (2013). Oscillation theorems for second-order superlinear neutral differential equations. Mathematica Slovaca, 63(1), 123-134. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0087-9