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 |
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Format: | Artikel |
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 |
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ISSN: | 1417-3875 1417-3875 |
DOI: | 10.14232/ejqtde.2012.1.30 |