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二阶边值问题的正解 被引量:4

Positive Solutions of Second Order Boundary Value Problems
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摘要 本文对f没有非负性,同时也没有单调性的情形研究非线性边值问题 正解的存在性.其中q是非负连续函数,并且在端点可以具有奇异性. Without nonnegative assumptions and any monotonous assumptions on f, the existence of positive solutions of nonlinear boundary value problems have been studied in this paper, where q is nonnegative continuous and may be singular at end points.
作者 程建纲
机构地区 烟台大学数学系
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2001年第3期429-436,共8页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(10071066)
关键词 边值问题 正解 存在性 非线性 奇异性 Boundary value problem Positive solution Existence
  • 相关文献

参考文献6

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同被引文献27

  • 1Agarwal R P,Regan D O.A note on existence of nonnegative solutions to singular semi-positone problems.Nonlinear Anal,1999,36(5):615-622.
  • 2Erbe L H,Mathsen R M.Positive solutions for singular nonlinear boundary value problems.Nonlinear Anal,2001,46(7):979-986.
  • 3Erbe L H,Hu S C,Wang H Y.Multiple positive solutions of some boundary value problems.J Math Anal Appl,1994,184(3):640-648.
  • 4Henderson J,Wang H Y.Positive solutions for nonlinear eigenvalue problems.J Math Anal Appl,1997,208:252-259.
  • 5Lan K Q,Webb J R.Positive solutions of semilinear differential equations with singularities.J Differential Equations,1998,148(2):407-421.
  • 6Ma R Y.Multiple positive solutions for nonlinear m-point boundary value problems.Appl Math Comput,2004,148:249-262.
  • 7Ma R Y.Positive solutions for second-order m-point boundary value problems of Robin type.Acta Mathematiea Scientia,2004,24(3):307-318.
  • 8Ma R Y,Thompson B.Positive solutions for nonlinear m-point eigenvalue problems.J Math Anal Appl,2004,297(1):24-37.
  • 9Han G D,Wu Y.Nontrivial solutions for singular two-point boundary value problems with sign-changing nonlinear term.J Math Anal Appl,2007,325(2):1327-1338.
  • 10Sun J X,Zhang G W.Nontrivial solutions of singular superlinear Sturn-Liouville problem.J Math Anal Appl,2006,313:518-536.

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