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广义模糊Volterra积分方程与强模糊Henstock积分
  • ISSN号：1000-0984
  • 期刊名称：数学的实践与认识
  • 时间：2012
  • 页码：268-274
  • 分类：O175.5[理学—数学;理学—基础数学]
  • 作者机构：[1]西北民族大学数学与计算机科学学院,甘肃兰州730030, [2]西北师范大学数学与信息科学学院,甘肃兰州730070
  • 相关基金：资助项目：国家自然科学基金（11161041,71061013）
  • 相关项目：不连续模糊系统的边值问题及解的变差稳定性研究
作者： 邵亚斌|巩增泰|张环环|
关键词： 模糊数, 模糊数值函数, 强模糊Henstock积分, 广义模糊Volterra积分方程, 整体解, 广义Darbo不动点定理, fuzzy number, fuzzy number valued functions, fuzzy henstock integrals, generalized fuzzy volterra integrals equation, the existence of global solutions
中文摘要：

研究形如 u（t）=∫ t 0g（t,s）f^~（s,u（s）,∫s 0 k（s,τ）u（τ））dτ,∫1 0h（s,τ）u（τ）dτ）ds 的模糊Volterra积分方程整体解的存在性．这里h，k，g是实值函数，f^~ 为强模糊Henstock可积的模糊数值函数．所用的方法和工具是利用模糊数值函数的等度可积性和非紧性测度的性质以及广义Darbo不动点定理．

英文摘要：

In this paper, we prove the existence of global solutions for generalized fuzzy Volterra-type integral equations involving the strong Henstock integral in fuzzy number space. The functions governing the equations are supposed to satisfy some nonabsolute integrability or boundedness conditions. Our result improves the results of predecessors.

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期刊信息
  • 《数学的实践与认识》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：林群
  • 地址：北京大学数学科学学院
  • 邮编：100871
  • 邮箱：bjmath@math.pku.edu.cn
  • 电话：010-62759981
  • 国际标准刊号：ISSN：1000-0984
  • 国内统一刊号：ISSN：11-2018/O1
  • 邮发代号:2-809
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:22973