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一类半正二阶三点边值问题的解和多解性

Solutions and Multiple Solutions of Semipositone Second-Order Three-Point Boundary Value Problems
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摘要 利用锥上的不动点定理,给出了非线性二阶三点边值问题解和多解的存在性定理.其中允许非线性项有一个负的下界. By using a fixed point theorem in cones,the existence of solutions and multiple solutions is considered for a nonlinear second-order three-point boundary value problem where nonlinear term is allowed to have a negative loeer bound.
作者 崔艳 李群
机构地区 阜阳师范学院数学与计算科学学院
出处 《数学的实践与认识》 CSCD 北大核心 2011年第1期159-165,共7页 Mathematics in Practice and Theory
关键词 三点边值问题 半正非线性 不动点定理 three-point boundary value problem semipositone nonlineaxity fixed point theorem
分类号 O175.8 [理学—基础数学]
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参考文献8

  • 1Liu Yansheng, Qi Aiqin. Positive solutions of nonlinear singular boundary value problem in abstract space[J]. Computers and Mathematics with Applications, 2004, 47: 683-688.
  • 2Ma Ruyun. The Nonlocal Problems for Nonlinear Ordinary Differential Equation[M]. Beijing: Science and Technologey Press, 2004(in Chinese).
  • 3Ravi P Agarwal, Donal O'Regan. Some new results for singular problems with sign changing nonlinearities[J]. Journal of Computational and Applied Mathematics, 2000, 113: 1-15.
  • 4Gupta C P. Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation[J]. J Math Anal Appl, 1992, 168: 540-551.
  • 5Lu Shiping, Ge Weigao. Existence of positive periodic solutions for neutral logarithmic population model with multiple delays[J]. Journal of Computational and Applied Mathematics, 2004, 166: 371-383.
  • 6姚庆六.一类二阶三点非线性边值问题的正解存在性与多解性[J].数学学报（中文版）,2002,45(6):1057-1064. 被引量：52
  • 7郭彦平,葛渭高,董士杰.具有变号非线性项的二阶三点边值问题的两个正解[J].应用数学学报,2004,27(3):522-529. 被引量：26
  • 8姚庆六.半正二阶三点边值问题的解和正解[J].应用数学学报,2007,30(2):209-217. 被引量：15

二级参考文献17

  • 1Il'in V A, Moiseev E I. Nonlocal Boundary Value Problem of the Second Kind for a Sturm-Liouville Perator. Differential Equations, 1987, 23(8): 979-987
  • 2Il'in V A, Moiseev E I. Nonlocal Boundary Value Problem of the First Kind for a Sturm-Liouville Operator in Its Differential and Finite Difference Aspects. Differential Equations, 1987, 23(7): 803-810
  • 3Feng W, Webb J R L. Solvability of a m-point Boundary Value Problems with Nonlinear Growth.J. Math. Anal. Appl., 1997, 212:467-480
  • 4Feng W. On a m-point Nonlinear Boundary Value Problem. Nonlinear Analysis TMA, 1997, 30(6):5369-5374
  • 5Gupta C P. Solvability of a Three-point Nonlinear Boundary Value Problem for a Second order Ordinary Differential Equation. J. Math. Anal. Appl., 1992, 168:540-551
  • 6Gupta C P. A Sharper Condition for the Solvability of a Three-point Second order Boundary Value Problem. J. Math. Anal. Appl., 1997, 205:586-579
  • 7Gupta C P. A Generalized Multi-point Boundary Value Problem for Second order Ordinary Differential Equations. Appl. Math. Comput., 1998, 89:133-146
  • 8Ma Ruyun. Existence Theorems for a Second order m-point Boundary Value Problem. J. Math.Anal. Appl., 1997, 211:545-555
  • 9Ma Ruyun. Positive Solutions for Second order Three-point Boundary Value Problems. Applied Mathematics Letters, 2001, 14:1-5
  • 10Ma Ruyun. Positive Solutions of a Nonlinear Three-point Boundary Value Problem. Electronic Journal of Differential Equations, 1999, 34:1-8

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数学的实践与认识
2011年 第1期

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