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偶数阶带分布时滞微分方程最终有界正解的存在性 被引量:3

EXISTENCE FOR EVENTUALLY BOUNDED POSITIVE SOLUTIONS OF EVEN-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DELAY
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摘要 考虑偶数阶非线性带分布时滞中立型微分方程,利用Lebesgue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 we consider the existence for eventually positive solutions of even-order nonlinear neutral differential equations with distributed delay. We use the Lebesgue's dominated convergence theorem to obtain new necessary and sufficient condition for the existence of eventuMly bounded positive solutions.
出处 《系统科学与数学》 CSCD 北大核心 2013年第10期1243-1247,共5页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(11172194) 山西省自然科学基金(2010011008) 山西省自然科学基金资助项目(2008011002-1) 山西大同大学科研基金资助项目(2011K3)资助课题
关键词 偶数阶 带分布时滞微分方程 中立型 非线性 最终有界正解 比较定理 Even-order, differentiM equation with distributed delay, neutral, non-linear, eventually positive solution, comparison theorem.
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参考文献7

  • 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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