数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (3): 316-322.

• 论文 • 上一篇    下一篇

ASYMPTOTIC AND OSCILLATORY BEHAVIOURS OF SOLUTIONS OF THE 1ST ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH SEVERAL DELAY ARGUMENTS

俞元洪1, 傅希林2   

  1. 1. Inst. of Appl. Math., Academia Sinica, Beijing 100080, China;
    2. Dept. of Math., Shandong Univ., Jinan 250100, China
  • 收稿日期:1991-05-15 出版日期:1993-09-25 发布日期:1993-09-25

ASYMPTOTIC AND OSCILLATORY BEHAVIOURS OF SOLUTIONS OF THE 1ST ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH SEVERAL DELAY ARGUMENTS

Yu Yuanhong1, Fu Xilin2   

  1. 1. Inst. of Appl. Math., Academia Sinica, Beijing 100080, China;
    2. Dept. of Math., Shandong Univ., Jinan 250100, China
  • Received:1991-05-15 Online:1993-09-25 Published:1993-09-25

摘要: In this paper authors consider a class of the first order nonlinear neutral differential equations with several delay arguments. Sufficient conditions are obtained which ensure that all nonoscillatory solutions tend to zero as t→+∞. Criteria are established for all solutions to oscillate.

Abstract: In this paper authors consider a class of the first order nonlinear neutral differential equations with several delay arguments. Sufficient conditions are obtained which ensure that all nonoscillatory solutions tend to zero as t→+∞. Criteria are established for all solutions to oscillate.