期刊文献+

高阶混合中立型微分方程解的振动性 被引量:7

OSCILLATIONS OF HIGH ORDER MIXED NEUTRAL DIFFERENTIAL EQUATIONS
原文传递
导出
摘要 本文研究奇数阶混合类型的中立型微方程:[x(t)+cx(t-h)+c^*x(t+h)]^(n)=qx(t-g)+px(t+g^*),这里c,c^*,g,g^*,h,h^*,p和q是实常数,得到关于解振动的一些新的判别准则,本文结果改进了Grace S.R.的全部定理。 The following odd order mixde neutral differential equations: are studied, where c, c*, g, g*, h, h*, p and q are real number. some new oscillation criterias of the solutions are obtained. Our results in this paper improve all theorems offered by Grace S. R.
作者 程金发
机构地区 厦门大学数学系
出处 《系统科学与数学》 CSCD 北大核心 2001年第3期287-291,共5页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金资助课题
关键词 中立微分方程 振动性 特征方程 奇数阶 显式表达 充分条件 Neutral differential equation, oscillation, characteristic equation.
  • 相关文献

参考文献5

  • 1GRACE S R.On the oscillations of mixed neutral equations[].Journal of Mathematical Analysis and Applications.1995
  • 2Grace S R and Lalli B S.Oscillation and asymptotic behavior of certain second order neutraldifferential equations[].Radovi Mat.1989
  • 3Gyori I and Ladas G.Oscillation Theory of Delay Differential Equations[]..1991
  • 4Ladde G S,Lakshmilrantham V,Zhang B G.Oscillation Theory of Deferential Equations withDeviating Argtunents[]..1987
  • 5Hale J.Theory of Functional Differential equations[]..1977

同被引文献20

  • 1王志成,钱祥征,申建华.脉冲中立型微分方程的振动性与渐近性[J].湖南大学学报(自然科学版),1995,22(1):6-12. 被引量:5
  • 2Tanaka S. Existence of positive solutions of higher order nonlinear neutral differential equations[J]. Rocky Mount J Math,2000,30: 1139-1149.
  • 3Zafer A. Oscillation criteria for even order neutral differential equations[J]. Appl Math Lett, 1998,11: 21-25.
  • 4Kusano T. On even order functional differential equations with advanced and retarded arguments[J]. J Differential Equations, 1982,45 : 75-84.
  • 5Ladas G, Stavroulakis I P. On delay differential inequalities of higher order[J]. Canad Math Bull, 1982,25:348- 354.
  • 6Ladde G S, Lakshimikantham V, Zhang B G. Oscillation Theory of Differential Equations with Deriating Arguments[M]. Marcel Dekker, New York, 1987.
  • 7Agarwal R P, Grace S R. Oscillation for certain neutral functional differential equations[J]. Comput Math Appl, 1999, 38:1 - 11.
  • 8Grace S R. Oscillation criteria for n th -order neutral functional diffel~ential equations[J]. J Math Anal Appl, 1991, 184:44 -55.
  • 9Tanaka S. Existence of positive solutions of lfigher order nonlinear neutral differential equations [ J ]. Rocky Mount J Math , 2(k~h, 30: 1139 - 1149.
  • 10Zafer A. Oscillation criteria for even order neutral differential equations[J1. Appl Math kett, 1998, 11:21 -25.

引证文献7

二级引证文献16

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部