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一类奇异二阶微分方程边值问题的解的存在唯一性

Uniqueness of Positive Solution for Singular two Order Continuous a Class Boundary Value Problems
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摘要 利用混合单调算子的一个不动点定理,给出奇异二阶微分方程一类混合边值问题的解的存在唯一性,这个定理推广和完善了以前的结论. By mixed monotone method, existence and uniqueness are established for singular mixed boundary value problems for second order differential equations. The theorems obtained are very general and complement previous known results.
出处 《数学的实践与认识》 CSCD 北大核心 2009年第10期221-225,共5页 Mathematics in Practice and Theory
基金 黑龙江省教育厅科学技术研究项目(11523056)
关键词 奇异混合单调算子 不动点 边值问题 singular mixed monotone operator fixed point theorem boundary value problems
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参考文献12

  • 1Agarwal RP, O'Regan D. Singular boundary value problems for uperlinear second order ordinary and delay differential equations[J]. Journal of Differential Equations, 1996,130 : 333-335.
  • 2Agarwal RP, O'Regan D, Lakshmikantham V. Ouadratc forms and nolinear non-resonant Singular second order boundary value problems of limit ercle type[J]. Journal for Analysis and Its Applications,2001,20: 727-737.
  • 3Agarwal RP, O'Regan D. Existence theory for single and ultiple solutions to singular positone boundary value problems[J]. Journal of Differential Equations, 2001,175 : 393-414.
  • 4Steven D Tallaferro. A Singular boundary value problems[J]. Nonlinear Anal, 1978,6: 897-904.
  • 5Agarwal RP, O'Regan D. Existence theory for singlar initial and a boundary value problems: A fixed point approach[J]. Appl Anal, 2002,81 : 391-434.
  • 6Xiaoning Lin, Xiaoyue Li, Daqing Jiang. Positive solutions to superlinear semipositone periodic bound-ary value problems with repulsive weak singular forees[J]. Computers and Mathematics with Applications,2006,51:507- 514.
  • 7Xiaoning Lin, Daqing Jiang, Xiaoyue Li. Existence and uniqueness o1[ solutions for singular (k,n - k) conjugate boundary value problems[J]. Computers and Mathematics with Applications,2006,52 = 375-382.
  • 8Xiaoning Lin, Daqing Jiang. Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations[J]. J Math Anal Appl,2006,321:501-514.
  • 9Yuan Chengjun, Jiang Daqing, Zharig You. Existence and uniqueness of solutions for singular higher order continuous and discrete boundary value problems[J]. Boundary Value Problems, 2008, Article ID 123823,2008. doi:10. 1155/2008/123823.
  • 10Xiaoning Lin, Daqing Jiang, Xiaoyue Li. Existence and uniqueness of solutions for singular fourth-order boundary value problems[J]. Journal of Computational and Applied Mathematics, 2006,196:155-161.

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