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四阶奇异边值问题的正解

Positive solutions to fourth-order singular boundary value problems
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摘要 在较弱的条件下,利用不动点定理研究四阶奇异边值问题(P)的正解的存在性,允许非线性项a(t),F(t,x(t))在t=0,t=1及x=0处奇异. Under relatively weak conditions ,we obtain the existence of positive solutions to BVP(P). We allow the nonlinear items of a(t) and F(t, x(t) ) being singular when t =0, t = 1 and x =0.
作者 张艳红
出处 《福州大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第1期10-14,共5页 Journal of Fuzhou University(Natural Science Edition)
基金 福建省教育厅科研资助项目(JB08024)
关键词 不动点 奇异边值问题 正解 cone fixed point singular boundary value problems positive solutions
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  • 1Bernis F, Peletier L A. Two problems from draining flows involing third order ordinary differential equations[J]. SIAM J Math Anal, 1996, 27(2) : 515-527.
  • 2Goecke D M, Henderson J. Uniqueness of solutions of right focal problems for thirdorder differential equations[J]. Nonlinear Analysis, 1994, 8 : 253-259.
  • 3Jackson L K. Existence anti uniqueness of solutions of boundary value problems for thirdorder differential equations[J]. J Diff Eqns, 1973, 13:432-437.
  • 4Nagle R K, Pothoven K L. On a thirdorder nonlinear boundary value problems[J]. J Math Anal Appl, 1995,195: 149-159.
  • 5O'Regan D. Topological transversality: application to thirdorder boundary value problems [J]. SIAM J Math Anal, 1987, 19: 630-641.
  • 6Troy W C. Solutions of thirdorder differential equations relevant to draining and coating flows[J]. SIAM J Math Anal, 1993, 24: 155-171.
  • 7孙彦,刘立山.三阶奇异边值问题的正解[J].应用数学学报,2009,32(1):50-59. 被引量:19
  • 8张艳红,吕辉.一类四阶三点奇异边值问题的正解存在性[J].福州大学学报(自然科学版),2006,34(3):325-328. 被引量:1
  • 9Guo D J, Lakshmikantham V. Nonlinear problems in abstract cones[M]. San Diego: Academic Press, 1988.
  • 10张艳红,曾有栋.一类四阶三点边值问题的正解的存在性[J].福州大学学报(自然科学版),2005,33(1):1-3. 被引量:6

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