Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (4): 740-749.

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Oscillation Analysis of Analytical Solutions for a Kind of Nonlinear Neutral Delay Differential Equations with Several Delays

Wang Huiling, Gao Jianfang   

  1. School of Mathematical Sciences, Harbin Normal University, Harbin 150025
  • Received:2016-11-29 Revised:2017-06-28 Online:2018-08-26 Published:2018-08-26
  • Supported by:
    Supported by the NSFC (11401145) and the Natural Science Foundation of Heilongjiang Province (A201411, F2015012)

Abstract: This paper is concerned with oscillation of a kind of nonlinear neutral delay differential equations with constant coefficients. The sufficient conditions for oscillation in the case of 0 < p < 1 and the sufficient and necessary conditions for oscillation in the case of p ≥ 1 are obtained, respectively. To compare with other existing results, we give two experiments to verify our results.

Key words: Oscillation, Analytical solution, Neutral delay differential equation

CLC Number: 

  • O241.81
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