期刊文献+

Krasnoselskii不动点定理的一个应用

An Application of Krasnoselskii Fixed Point Theorem
下载PDF
导出
摘要 不动点理论是研究方程解的存在性的一种强有力的工具.本文主要考虑了一类特殊的积分方程,并应用Krasnoselskii不动点定理得到了该类积分方程解的存在性. The fixed point theory is a powerful tool for studying the existence of solutions for equations. In this paper,a special class of integral equations was explored and the Krasnoselskii fixed point theorem was applied to get the existence of its solution.
出处 《绵阳师范学院学报》 2015年第5期12-14,18,共4页 Journal of Mianyang Teachers' College
基金 四川大学博士点基金0020105405014
关键词 KRASNOSELSKII不动点定理 积分方程 全连续算子 压缩算子 Krasnoselskii fixed point theorem integral equation completely continuous operator contraction operator
  • 相关文献

参考文献10

  • 1程其襄,张奠宙,魏国强,等.实变函数与泛函分析[M].高等教育出版社,2010:12.
  • 2罗雷,朱传喜.Krasnoselskii定理几种新的推广[J].应用泛函分析学报,2012,14(2):172-176. 被引量:1
  • 3夏道行,吴卓人,严绍宗,等.实变函数论与泛函分析下册[M].高等教育出版社,2010:1.
  • 4张石生,陈玉清.一类Krasnoselskii型不动点定理[J].数学学报(中文版),1991,34(1):33-39. 被引量:3
  • 5张石生,陈玉清.关于Krasnoselskii型不动点定理的应用[J].四川大学学报(自然科学版),1994,31(3):396-398. 被引量:1
  • 6Burton T A,Furumochi T.Krasnoselskii's fixed point theorem and stability[J].Nonlinear Analysis:Theory,2002,4(49):445-454.
  • 7Burton T A,Zhang B.Fractional equations and generalizations of Schaefer's and Krasnoselskii's fixed point theorems[J].Nonlinear Analysis:Theory,Methods and Applications,2012,18(75):6485-6495.
  • 8González C,Jiménez-Melado A.An Application of Krasnoselskii Fixed Point Theorem to the Asymptotic Behavior of Solutions of Difference Equations in Banach Spaces[J].Journal of Mathematical Analysis and Applications,2000,1(247):290-299.
  • 9Vladimirescu C.Remark on Krasnoselskii's fixed point theorem,Nonlinear Analysis:Theory,Methods and Applications,2009,3(71):876-880.
  • 10Zeidler E.Nonlinear Functional Analysis and its Application[M].I.:fixed point theorem,Springer,1986.

二级参考文献13

  • 1李国祯.几个随机算子定理[J].应用泛函分析学报,2004,6(4):351-357. 被引量:1
  • 2李国祯.随机1-集压缩算子的随机不动点指数和随机不动点定理[J].应用数学学报,1996,19(2):203-212. 被引量:47
  • 3朱传喜,陈晓莉.关于随机算子不动点指数的几个定理[J].应用泛函分析学报,2006,8(4):357-362. 被引量:6
  • 4王声望,郑维行.实变函数与泛函分析概要[M].3版.北京:高等教育出版社,2005.
  • 5Ma T W,Dissertationes Math,1972年,92卷,1页
  • 6郭大钧,非线性泛函分析,1985年
  • 7ZHU Chuanxi, CHEN Chunfang. Calculations of random fixed point index[J]. J Math Anal Appl, 2008, 339: 839-844.
  • 8ZHU Chuanxi, YIN Jiandong. Calculations of a random fixed point index of a random semi-closed 1-set- contractive operator[J]. Mathematical and Computer Modelling, 2010, 51:1135 1139.
  • 9ZHU Chuanxi. Generalizations of Krasnoselskii's theorem and Petryshyn's theorem[J]. Applied Mathe- matics Letters. 2006, 19: 628-632.
  • 10Krasnoselskii M A, Zabreiko P P. Geometrical Methods of Nonlinear Analysis[M]. Springer- Verlag, New York, 1984.

共引文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部