Oscillation criteria for neutral half-linear differential equations without commutativity in deviating arguments

Autor: Simona Fišnarová
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 51, Pp 1-10 (2016)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2016.1.51
Popis: We study the half-linear neutral differential equation \begin{equation*} \Bigl[r(t)\Phi(z'(t))\Bigr]'+c(t)\Phi(x(\sigma(t)))=0, \qquad z(t)=x(t)+b(t)x(\tau(t)), \end{equation*} where $\Phi(t)=|t|^{p-2}t$. We present new oscillation criteria for this equation in case when $\sigma(\tau(t))\neq \tau(\sigma(t))$ and $\int^\infty {r^{1-q}}(t)\mathrm{d}t
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