Oscillation criteria for even order nonlinear neutral differential equations

In this paper, we consider the oscillation criteria for even order nonlinear neutral differential equations of the form $$ \left(r(t)z^{(n-1)}(t)\right)'+q(t)f(x(\sigma(t)))=0, $$ where $z(t)=x(t)+p(t)x(\tau(t)),$ $n\geq2$ is a even integer. The results are obtained both for the case $\int^\inf...

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Veröffentlicht in:Electronic journal of qualitative theory of differential equations 2012-01, Vol.2012 (30), p.1-12
Hauptverfasser: Sun, Yibing, Han, Zhenlai, Sun, Shurong, Zhang, Chao
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Sprache:eng
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Zusammenfassung:In this paper, we consider the oscillation criteria for even order nonlinear neutral differential equations of the form $$ \left(r(t)z^{(n-1)}(t)\right)'+q(t)f(x(\sigma(t)))=0, $$ where $z(t)=x(t)+p(t)x(\tau(t)),$ $n\geq2$ is a even integer. The results are obtained both for the case $\int^\infty r^{-1}(t){\rm d}t=\infty,$ and in case $\int^\infty r^{-1}(t){\rm d}t
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2012.1.30