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

二阶微分方程组的耦合积分边值问题 被引量：2

Couple Integral Boundary Value Problem of Second Order Differential Equations
下载PDF
导出
摘要 研究了二阶微分方程组的耦合积分边值问题.在一对上-下解和下-上解的条件下,利用一个新的比较原则和Fredholm定理给出了其极解的存在性. This paper investigates the existence of solutions of couple integral boundary value problems of second order differential equations.Under the assumption of lower-upper solutions and upper-lower solutions,the results are derived by using the new comparison principle and the Fredholm theorem.
作者 邹玉梅 崔玉军
机构地区 山东科技大学信息科学与工程学院
出处 《应用泛函分析学报》 CSCD 2013年第2期125-130,共6页 Acta Analysis Functionalis Applicata
基金 国家自然科学基金(10971179 11071141 61201431) 山东省优秀中青年科学家科研奖励基金(BS2010SF023)
关键词 耦合积分边值问题 极解 上-下解 下-上解 couple integral boundary value problem extremal solutions lower-upper solution upper-lower solution
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献9

  • 1Amann H. Parabolic evolution equations with nonlinear boundary conditions,in:nonlinear functional analysis and its applications[J].Proc Sympos Pure Math Amer Math Soc Providence RI,1986.17-27.
  • 2Amann H. Parabolic evolution equations and nonlinear boundary conditions[J].Journal of Differential Equations,1988.201-269.
  • 3Aronson D G. A comparison method for stability analysis of nonlinear parabolic problems[J].SIAM Review,1978.245-264.
  • 4Asif N A,Khan R A. Positive solutions to singular system with four-point coupled boundary conditions[J].Journal of Mathematical Analysis and Applications,2012.848-861.
  • 5Cui Y,Sun J. On existence of positive solutions of coupled integral boundary value problems for a nonlinear singular superlinear differential system[J].E J Qualitative Theory of Diff Equ,2012.1-13.
  • 6Deng K. Blow-up rates for parabolic systems[J].Zangew Math Phys,1996.132-143.
  • 7Deng K. Global existence and blow-up for a system of heat equations with nonlinear boundary condition[J].Mathematical Methods in the Applied Sciences,1995.307-315.
  • 8Yuan C,Jiang D,O' Regan D. Multiple positive solutions to systems of nonlinear semipositone fractional diffrential equations with coupled boundary conditions[J].E J Qualitative Theory of Diff Equ,2012.1-17.
  • 9Ladde G S,Lakshmikantham V,Vatsala A S. Monotone iterative techniques for nonlinear differential equations[M].Pitman Pub Co,Boston,1985.

同被引文献9

  • 1Boucherif A. Second-order boundary value problems with integral boundary conditions[J]. Nonlinear Anal- ysis, 2009, 70(1): 364-371.
  • 2Feng M, Ji D, Ge W. Positive Solutions for a class of boundary value problem with integral boundary conditions in Banach spaces[J]. Journal of Computational and Applied Mathematics, 2008, 222(2): 351- 363.
  • 3Kang P, Wei Z, Xu J. Positive solutions to fourth-order singular boundary value problems with integral boundary conditions in abstract spaces[J]. Applied Mathematics and Computation 2008, 206(1): 245-256.
  • 4Li Y, Li F. Sign-changing solutions for second order integral boundary value problems[J]. Nonlinear Analysis, 2008, 69(4): 1179-1187.
  • 5Yang Z. Existence and uniqueness of positive solutions for an integral boundary value problem[J]. Non- linear Analysis, 2008, 69(11): 3910-3918.
  • 6Yang Z. Existence of nontrivial solutions for a nonlinear Sturm-Liouville problem with integral boundary conditions[J]. Nonlinear Analysis, 2008, 68(1): 216-225.
  • 7Zhang X, Sun J. On multiple sign-changing solutions for some second-order integral boundary value problems[J]. Electronic Journal of Qualitative Theory of Differential Equations, 2010, 44: 1-15.
  • 8张兴秋.奇异二阶微分方程积分边值问题正解的存在唯一性[J].系统科学与数学,2010,30(10):1407-1416. 被引量：7
  • 9叶盼盼,杨志林.二阶常微分方程组积分边值问题的正解[J].系统科学与数学,2011,31(8):992-999. 被引量：2

引证文献2

二级引证文献2

应用泛函分析学报
2013年 第2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