数学物理学报 ›› 2018, Vol. 38 ›› Issue (4): 740-749.

• 论文 • 上一篇    下一篇

一类带有多项延迟的非线性中立型延迟微分方程解析解的振动性分析

王慧灵, 高建芳   

  1. 哈尔滨师范大学数学科学学院 哈尔滨 150025
  • 收稿日期:2016-11-29 修回日期:2017-06-28 出版日期:2018-08-26 发布日期:2018-08-26
  • 通讯作者: 高建芳,E-mail:09151108@163.com E-mail:09151108@163.com
  • 基金资助:
    国家自然科学基金(11401145)和黑龙江省自然科学基金(A201411,F2015012)

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)

摘要: 该文考虑一类带有常系数的非线性中立型延迟微分方程的振动性,得到了0 < p < 1时方程解析解振动的充分条件,以及p≥1时方程解析解振动的充要条件.为了与其它现有结果进行比较,文中给出了两个算例进行验证所获理论成果的正确性.

关键词: 振动, 解析解, 中立型延迟微分方程

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

中图分类号: 

  • O241.81