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

一阶差分方程周期边值问题一个或多个正解的存在性

Existence of single and multiple solutions for first order discrete periodic boundary value problems
下载PDF
导出
摘要 用一类锥不动点定理首先给出一阶差分周期边值问题的存在性原则,并应用此原则论证了该问题一个或多个正解的存在性,最后通过例证对该问题加以说明。 The existence principle of single and multiple positive solutions for the first order discrete periodic boundary value problems was studied by employing a fixed point theorem in cones.Based on this principle,the existence of single and multiple positive solutions for the problems was given.Some new results about nonlinear difference equations on a finite discrete segment with periodic boundary conditions were demonstrated.
作者 许晓婕 费祥历
机构地区 中国石油大学数学与计算科学学院
出处 《中国石油大学学报（自然科学版）》 EI CAS CSCD 北大核心 2011年第1期179-183,共5页 Journal of China University of Petroleum(Edition of Natural Science)
基金 中国石油大学(华东)基础科研基金(Y070815)
关键词 周期边值问题 差分方程 正解 锥不动点定理 periodic boundary value problem discrete equation positive solution fixed point theorem in cones
分类号 O175.08 [理学—基础数学]
  • 相关文献

参考文献11

  • 1姚庆六.非线性二阶周期边值问题的n个正解的存在性[J].中国石油大学学报（自然科学版）,2009,33(4):175-178. 被引量：2
  • 2DECOSTER C, HABETS P. Upper and lower solutions in the theory of ODE boundary value problems : classical and recent results [ M ]//Zanolin. Nonlinear analysis and boundary value problems for ordinary differential equations. CISM-ICMS, 371, New York : Springer, 1996 : 1- 78.
  • 3LADDLE G S, LAKSHMIKANTHAM V, VATSALA S. Monotone iterative techniques for nonlinear differential equations [ M ]. London: Pitman Advanced Publishing Program, 1985.
  • 4ZHANG Xiao-ying, LI Xiao-yue, JIANG Da-qing, et al. Multiplicity positive solutions to periodic problems for first-order impulsive differential equations[ J]. Computers and Mathematica with Applications, 2006, 52:953-966.
  • 5AGARWAL R P, O'REGAN D, LAKSHMIKANTHAM V, et al. Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach [ J ]. Nonlinear Analysis, 2002,50 : 215-222.
  • 6AGARWAL R P, O'REGAN D. Singular problems: an upper and lower solution approach[ J]. J Math Anal Appl,2000,251 : 230-250.
  • 7AGARWAL R P, O' REGAN D. Singular initial and boundary value problems with sign changing nonlinearitis [J]. IMA J Appl Math, 2000,65:173-198.
  • 8DEIMLING K. Nonlinear functional analysis [ M ]. New York : Springer-Verlag, 1985.
  • 9TORRES P J. Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem [ J ]. J Differential Equations, 2003,190:643-662.
  • 10LIN Xiao-ning, WANG Hong, JIANG Da-qing. Existence of single and multiple solutions for first order periodic boundary value problems [ J ]. Acta Mathematicae Applicatae Sinica ( English Series ), 2007,23 ( 2 ) : 289- 302.

二级参考文献5

共引文献1

中国石油大学学报（自然科学版）
2011年 第1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