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This paper is concern with a class of third-order neutral Emden–Fowler dynamic equation $$\begin{aligned} (a((rz^\Delta )^\Delta )^\alpha )^\Delta (t)+q(t)x^\alpha (\delta (t))=0, \end{aligned}$$(a((rzΔ)Δ)α)Δ(t)+q(t)xα(δ(t))=0,where $$z(t):=x(t)+p(t)x(\tau (t)), \alpha $$z(t):=x(t)+p(t)x(τ(t)),α is a quotient of… Click to show full abstract
This paper is concern with a class of third-order neutral Emden–Fowler dynamic equation $$\begin{aligned} (a((rz^\Delta )^\Delta )^\alpha )^\Delta (t)+q(t)x^\alpha (\delta (t))=0, \end{aligned}$$(a((rzΔ)Δ)α)Δ(t)+q(t)xα(δ(t))=0,where $$z(t):=x(t)+p(t)x(\tau (t)), \alpha $$z(t):=x(t)+p(t)x(τ(t)),α is a quotient of odd positive integers. By generalized Riccati transformation and comparison principles, some new criteria which ensure that every solution is oscillatory are established, which improve and supplement some known results in literatures.
Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2017
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