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Volume 45 Number 3 Volume 45 Number 4

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Research articles

ScienceAsia 45(2019): 371-379 |doi: 10.2306/scienceasia1513-1874.2019.45.371


Oscillation for a generalized neutral Emden-Fowler equation with damping and distributed delay


Fengsheng Leia, Jiandong Lia, Guirong Liub,*

 
ABSTRACT:      In this study, we consider the generalized neutral Emden-Fowler equation with damping and distributed delay

where z(t) = x(t) + p(t)x(τ(t)), α,β > 0. By using averaging technique and some analytical skills, we obtain the sufficient conditions to ensure the oscillation for the above equation. Our results improve and generalize some existing results. Finally, two examples are given to show the feasibility of our results.

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a Department of Mathematics, Luliang University, Lishi, Shanxi 033000 China
b School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006 China

* Corresponding author, E-mail: lgr5791@sxu.edu.cn

Received 27 Sep 2018, Accepted 6 Aug 2019