Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (3): 811-826.

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Oscillation Criteria of Second-Order Generalized Emden-Fowler Delay Differential Equations with a Sub-Linear Neutral Term

Zhiyu Zhang()   

  1. Department of Sciences, Taiyuan Institute of Technology, Taiyuan 030008
  • Received:2020-07-01 Online:2021-06-26 Published:2021-06-09
  • Supported by:
    the NSFC(11701528);the NSFC(11747098);the NSF of Shanxi Province(2011011002-3)


In this paper, we study the oscillation of second order generalized Emden-Fowler delay differential equations with a sub-linear neutral term. Under the irregularity condition, by using Riccati transformation and the inequalities technique, several simple new oscillation criteria of this kind of equations to ensure that every solution oscillates are established. These oscillation criteria generalize and improve the classical research results including those adapted to Euler equations established in previous literatures. Finally, some examples to verify the wide application of these oscillation criteria are given in this paper.

Key words: Emden-Fowler equation, Euler equation, Second order, Delay differential equation, Sub-linear neutral term, Oscillation criterion, Riccati transformation

CLC Number: 

  • O175