Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (4): 803-814.

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Oscillation for Emden-Fowler Delay Differential Equations of Neutral Type

Zeng Yunhui1, Luo liping1, Yu Yuanhong2   

  1. 1 Department of Mathematics and ComputationalScience, Hengyang Normal University, Hunan Hengyang 421008;
    2 Academy of System Sciences, Chinese Academy of Sciences, Beijing 100190
  • Received:2014-09-15 Revised:2015-03-04 Online:2015-08-25 Published:2015-08-25

Abstract:

In this paper we establish some new oscillation criteria for the generalized Emden-Fowler delay differential equations of neutral type of the form
(r(t)|z'(t)|α-1z'(t))'+q(t)|x(σ(t))|β-1x(σ(t))=0,
where z(t)=x(t)+p(t)x(τ(t)),α>0,β>0. The results obtained improve and extend some known results in the literature, recently.

Key words: Emden-Fowler equation, Neutral type, Oscillation criterion

CLC Number: 

  • O175.27
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