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Riemann-Stieltjes积分边值问题正解的存在唯一性 被引量：2

Existence and Uniqueness of Positive Solutions for a Riemann-Stieltjes Integral Boundary Value Problem
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摘要 利用解的先验估计和极值原理,研究了一类具有Riemann-Stieltjes积分边值问题正解的存在唯一性. The existence and uniqueness of positive solutions for a class of differential equation involving Riemann-Stieltjes integral conditions are investigated. The main tools used in the proofs are the a priori estimate method and maximal principle.
作者 邹玉梅 王梦媛 贺国平
机构地区 山东科技大学统计与金融系 山东科学院
出处 《应用泛函分析学报》 CSCD 2014年第3期238-243,共6页 Acta Analysis Functionalis Applicata
基金 国家自然科学基金(11371221) 山东省优秀中青年科学家科研奖励基金(BS2012SF023) 山东省博士后创新项目专项资金(201303074)
关键词 积分边值问题 极值原理 正解 integral boundary value problem maximal principle positive solutions
分类号 O177.91 [理学—基础数学]
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参考文献10

  • 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
  • 10邹玉梅,崔玉军.二阶微分方程组的耦合积分边值问题[J].应用泛函分析学报,2013,15(2):125-130. 被引量：2

二级参考文献30

  • 1[7]孙经先.非线性泛函分析及其应用[M].北京:科学出版社,2007.
  • 2Lomtatidze A, Malaguti L. On a nonlocal boundary-value problems for second order nonlinear singular differential equations. Georg. Math. J., 2000, 7:133- 154.
  • 3Gallardo J M. Second order differential operators with integral boundary conditions and generation of semigroups. Rocky Mountain J. Math., 2000, 30:1265- 1292.
  • 4Karakostas G L, Tsamatos P C. Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems. Electron. J. Diff. Eqns., 2002, 30: 1-17.
  • 5Feng M Q, Ji D H, Ge W G. Positive solutions for a class of boundary value problem with integral boundary conditions in Banach spaces. J. Comput. Appl. Math., 2008, 222: 351-363.
  • 6Zhang X M, Feng M Q, Ge W G. Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces. Nonlinear Anal., 2008, 69: 3310-3321.
  • 7Zhao Z Q. On the existence of positive solutions for 2n-order singular boundary value problems. Nonlinear Anal., 2006, 64:2553- 2561.
  • 8Zhang Y. Positive solutions of singular sub-linear Emden-Fowler boundary value problems. J. Math. Anal. Appl., 1994, 185: 215-222.
  • 9Hartman P. Ordinary Differential Equations. Birkhauser, Boston, 1982.
  • 10Wei Z L. A necessary and sufficient condition for 2nth-order singular super-linear m-point boundary value problems. J. Math. Anal. Appl., 2007, 327: 930-947.

共引文献7

同被引文献25

  • 1周友明.四阶奇异微分方程边值问题正解的存在性及多解性[J].应用泛函分析学报,2006,8(1):36-42. 被引量：6
  • 2Chawla M M, Katti C P. Finite difference methods and their convergence for a class of singular two-piont boundry value problems[J]. Numerische Mathematik, 1982, 39(3): 341-350.
  • 3Ravi Kanth A S V, Aruna K. Solution of singular two-point boundary value problems using differential transformation method[J]. Physics Letters A, 2008, 372(26): 4671-4673.
  • 4Agarual R P, O,Regan D. Existence theory for single and multiple solutions to positone boudary value problems[J]. Journal of Differential Equations, 2001, 175(2): 393-414.
  • 5Gatita J A, Oliker V, Waltman P. Singular nonlinear boundary value problems for second-order ordinary differential equations[J]. Journal of Differential Equations, 1989, 79(1): 62-78.
  • 6Bobisud L E, Calvert J E, Royalty W D. Some existence results for singular boundary value problems[J]. Differential and Integral Equations, 1993, 6(3): 553-571.
  • 7Agarwal R P. Twin solutions to singular Dirichlet problems[J]. Journal of Mathematical Analysis and Ap- plications, 1999, 240(2): 433-445.
  • 8Berestycki H. Le nombre de solutions de certains probl~mes semi-lin~ares elliptiques[J[. Journal of Functional Analysis, 1981, 40(1): 1-29.
  • 9Fraile J M, L6pez-G6mez J, Sabina De Lis J C. On the global structure of the set of positive solutions of some semilinear elliptic boundary value problems[J]. Journal of Differential Equations, 1995, 123(1): 180-212.
  • 10Shibata T. Precise spectral asymptotics for nonlinear Sturm-Liouville problems[J]. Journal of Differential Equations, 2002, 180(2): 393-414.

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应用泛函分析学报
2014年 第3期

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