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奇数阶中立型微分方程正解的存在性

Existence of Positive Solutions for Odd Order Neutral Differential Equations
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摘要 对一类奇数阶多时滞中立型泛函微分方程进行了研究,利用Lebesgue’s控制收敛定理获得了最终有界正解存在的一个充分必要条件。 In this paper, odd-order neutral differential equation is considered. The Lebesgue’s dominated convergence theorem is used, new necessary and sufficient condition for the existence of bounded positive solutions are obtained.
作者 马小箭 赵环环 MA Xiao-jian;ZHAO Huan-huan(School of Mathematics and Statistics, Shanxi Datong University, Datong Shanxi, 037009)
机构地区 山西大同大学数学与统计学院
出处 《山西大同大学学报（自然科学版）》 2019年第3期37-39,共3页 Journal of Shanxi Datong University(Natural Science Edition)
关键词 奇数阶 中立型 最终正解 比较定理 odd order neutral eventually positive solution comparison theorem
分类号 O175 [理学—基础数学]
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  • 1Liu Y J, Zhao H H, Yah J R. Eventually positive and bounded solutions of even-order nonlinear neutral differential equations. Applied Mathematics Letters, 2008, 21: 1118-1123.
  • 2Ouyang Z G, Li Y K, Qing M C. Eventually positive solutions of odd-order neutral differential equations. Applied Mathematics Letters, 2004, 17: 159-166.
  • 3Candan T, Dahiya R S. On the oscillation of certain mixed neutral equations. Applied Mathe- matic. Letter.. 2008. 21: 222-226.
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  • 9Yuanhong Yu,Hongzhou Wang.RETRACTED: Nonoscillatory solutions of second-order nonlinear neutral delay equations[J].Journal of Mathematical Analysis and Applications.2005(2)
  • 10Weiping Zhang.Existence of nonoscillatory solutions of first-order linear neutral delay differential equations[J].Computers and Mathematics with Applications.2005(7)

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山西大同大学学报（自然科学版）
2019年 第3期

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