| 偶数阶非线性微分方程有界正解的存在性 |
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| 引用本文： | 赵环环,刘有军,燕居让.偶数阶非线性微分方程有界正解的存在性[J].数学的实践与认识,2012,42(21):213-217. |
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| 作者姓名： | 赵环环 刘有军 燕居让 |
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| 作者单位： | 1. 山西大同大学数学与计算机科学学院,山西大同,037009
2. 山西大学数学科学学院,山西太原,030006 |
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| 基金项目： | 山西省自然科学基金，山西大同大学科研基金 |
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| 摘 要： | 考虑偶数阶非线性中立型微分方程,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.
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| 关 键 词： | 偶数阶 中立型微分方程 非线性 最终有界正解 比较定理 |
Existence for Eventually Bounded and Positive Solutions of Even-order Nonlinear Neutral Differential Equations |
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| ZHAO Huan-huan
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LIU You-jun
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YAN Ju-rang.Existence for Eventually Bounded and Positive Solutions of Even-order Nonlinear Neutral Differential Equations[J].Mathematics in Practice and Theory,2012,42(21):213-217. |
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| Authors: | ZHAO Huan-huan LIU You-jun YAN Ju-rang |
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| Institution: | 1.College of Mathematics and Computer Sciences,Shanxi Datong University,Datong 037009,China) (2.School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China) |
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| Abstract: | In this paper we consider the existence for eventually positive solutions of evenorder nonlinear neutral differential equations,We use the Lebesgue's dominated convergence theorem to obtain new necessary and sufficient condition for the existence of eventually bounded positive solutions. |
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| Keywords: | even-order neutral differential equation nonlinear eventually bounded and positive solution comparison theorem |
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