期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类分数阶时滞微分方程共振边值问题解的存在性

Existence of Solutions on the Boundary Value Problem at Resonance for a Class of Fractional Differential Equation with Delay
下载PDF
导出
摘要 研究了一类具有时滞的分数阶微分方程两点共振边值问题,利用Mawhin连续性定理证明了该边值问题解存在的性,得到了一些新的结果,推广了一些已有的工作. The existence of solutions for a class of fractional differential equation with two-point boundary value problem at resonance and delay is studied.Some new results are obtained on the existence of solutions for this boundary value problem by using Mawhin’s continuation theorem.Some known work are generalized.
作者 高汝林 郑春华 GAO Rulin;ZHENG Chunhua(Basic Department,Shaanxi Polytechnic Institute,Xianyang 712000,Shaanxi China)
机构地区 陕西工业职业技术学院基础部
出处 《河南科学》 2018年第8期1165-1169,共5页 Henan Science
基金 国家自然科学基金(11271364) 陕西工业职业技术学院一般科研项目(ZK17-34)
关键词 分数阶微分方程 时滞 共振 两点边值问题 连续性定理 fractional differential equation delay resonance two-point boundary value problem continuation theorem
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献9

二级参考文献58

  • 1LiHongyu,SunJingxian.POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR A SYSTEM OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2005,21(2):153-160. 被引量：19
  • 2斯力更,胡永珍.带有时滞的微分不等式与微分方程[M].呼和浩特:内蒙古人民出版社,2001.
  • 3郭大钧,孙经先,刘兆理.非线性常微分方程泛函方法[M].济南:山东科技出版社,2006:29-32.
  • 4Bai Z, w H. Positive Solutions for Boundary Value Problem of Nonlinear Fraaional Differential Eqiuuioti[J] .Journal of Math?ematical Analysis and Applications, 2005 ,311 (2) : 495 - 505.
  • 5Zhang Yinghan, Bai Zhanbing. Existence of Solutions for Nonlin?ear Fraaional Three-point Boundary Value Problems at Resonance[J] .Journal of Applied Mathematics and Computing,2011,36(1 - 2) :417 - 440.
  • 6Bai Zhanbing, Zhang Yinghan. The Existence of Solutions for a Fractional Multirpoint Boundary Value Problems[J] . Computers and Mathematics with Applications,20lO,60(8) :2364 - 2372.
  • 7Zhang Yinghan, Bai Zhanbing, F eng Tingting. Existence Results for a Coupled System if Nonlinear Fractional Three-point Bound?ary Value Problems at Resonance[J]. Computers and Mathemat?ics with Applications,2011 ,61(4) :1032 - 1047.
  • 8Wang Gang,liu Wenbin,Zhu Sinian,et al. Existence Results for a Coupled System if Nonlinear Fractional Zm-point Boundary Value Problems at Resonance[J]. Advances in Difference Equations, 2011 ,20( 1): 1 - 17.
  • 9Jiang Weihua. The Existence of Solutions to Boundary Value Problems if F ractional Differential Equations at Resonance[J] . Nonlinear Analysis: Theory, Methods and Applications, 2011 ,74 (5): 1987 - 1994.
  • 10Jiang Weihua. Solvability for a Coupled System of Fraaional Dif?ferential Equozions at Resonance[J] . Nonlinear Analysis: Real World Applications, 2012, 13(5) :2285 - 2292.

共引文献20

河南科学
2018年 第8期

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