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一类非线性微分方程非极端最终正解的存在性
  • ISSN号：1000-1832
  • 期刊名称：《东北师大学报：自然科学版》
  • 时间：0
  • 分类：O175.1[理学—数学;理学—基础数学]
  • 作者机构：[1]东北师范大学数学与统计学院,吉林长春130024
  • 相关基金：国家自然科学基金资助项目（11171056,11001041）
作者： 吴奋韬[1]
关键词： 非线性微分方程, 最终正解, 非极端最终正解, nonlinear differential equations, eventually positive solution, non-extreme eventually positive solution
中文摘要：

研究了一类非线性微分方程的非极端最终正解的存在性.通过建立一个积分不等式及其应用,给出了该非线性微分方程的非极端最终正解存在的必要条件.应用Schauder-Tychonoff不动点定理,得到了该非线性微分方程有一个特殊正解存在的充分条件,即得到了非极端最终正解存在的充要条件.

英文摘要：

The paper mainly studied the existence of non-extreme eventually positive solutions for a class of nonlinear differential equations. Through the establishment of an integral inequality and its applications,the necessary conditions for the existence of non-extreme eventually positive solutions are given. By,applying Schauder-Tychonoff fixed point theorem,the sufficient conditions for the existence of special positive solutions of the nonlinear differential equations are obtained. That＇s to say, the necessary and sufficient condition for the existence of non-extreme eventually positive solutions are obtained.

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期刊信息
  • 《东北师大学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:教育部
  • 主办单位:东北师范大学
  • 主编：刘宝
  • 地址：长春市净月大街2555号
  • 邮编：130117
  • 邮箱：dslkxb@nenu.edu.cn
  • 电话：0431-89165992
  • 国际标准刊号：ISSN：1000-1832
  • 国内统一刊号：ISSN：22-1123/N
  • 邮发代号:12-43
  • 获奖情况:
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  • 被引量:7830