Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (5): 1041-1054.

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Oscillation Analysis of Second-Order Generalized Emden-Fowler-Type Delay Differential Equations

Jimeng Li()   

  1. School of Science, Shaoyang University, Hunan Shaoyang 422004
  • Received:2018-06-18 Online:2019-10-26 Published:2019-11-08
  • Supported by:
    the Hunan Natural Science Foundation(12JJ3008);the Research Project on Teaching Reform of Hunan Education Department(2016JG671);the Science and Technology Plan Project of Shaoyang City(2016GX04)


We study the oscillatory behavior of a class of second-order generalized EmdenFowler-type nonlinear delay functional differential equations in this paper. By using a couple generalized Riccati transformation and some necessary analytic techniques, we establish some new oscillation criteria for the equations under both the cases canonical form and noncanonical form, which deal with some cases not covered by existing results in the literature. Three examples are given to illustrate the main results of this article.

Key words: Oscillation, Delay, Emden-Fowler-type differential equation, Riccati transformation

CLC Number: 

  • O175.27