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非线性二阶三点边值问题可解的若干充分条件 被引量:6

Several Suffcient Conditions of Solvability for a Nonlinear Second-order Three-point Boundary Value Problem
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摘要 考察了二阶非线性常微分方程的三点边值问题。利用 Leray-Schauder 非线性抉择获得了若干新 的存在性结论。 A three-point boundary value problem of second-order nonlinear ordinary di?erential equa- tion is considered. By making use of Leray-schauder nonlinear alternative, several new existence results are obtained.
作者 姚庆六
出处 《工程数学学报》 CSCD 北大核心 2004年第6期1029-1032,共4页 Chinese Journal of Engineering Mathematics
关键词 二阶非线性常微分方程 三点边值问题 存在性 LERAY-SCHAUDER非线性抉择 second-order nonlinear ordinary differential equation three-point boundary value prob-lem existence Leray-Schauder nonlinear alternative
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二级参考文献4

  • 1Gupta C P. Asharper condition forthe solvability of a three-point second order boundary value problem, J. Math. Anal.Appl., 1997, 205:586~597
  • 2Ma Ruyun. Existence theorems for a second order three-point boundary value problem,J. Math. Anal. Appl., 1997, 212:430~442
  • 3Ma Ruyun. Positive solutions of a nonlinear three-point boundary value problem,Electronic Journal of Differential Equations. 1999, 34:1~8
  • 4Zhong Chengkui, Fan Xianling, Chen Wenyuan. Introduction to Nonlinear FunctionalAnalysis, Lanzhou University Press, 1998

共引文献6

同被引文献24

  • 1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:27
  • 2姚庆六.一类非线性三阶常微分方程的多重正解[J].四川大学学报(自然科学版),2005,42(1):33-37. 被引量:8
  • 3蒋继强,刘立山.一类奇异边值问题正解的存在性[J].曲阜师范大学学报(自然科学版),2007,33(2):13-18. 被引量:6
  • 4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
  • 5Ma Ruyun.Positive Solutions of Nonlinear Three-piont Boundary Value Problems[J].J Math Anal Appl,2003,279(1):216-227.
  • 6Gupta C P.A Sharper Condition for The Solvability of a Three-piont Second Arder Boundary Value Problem[J].J Math Anal Appl,1997,205(2):586-597.
  • 7Ma Ruyun, Wang Haiyan. Positive solutions of nonlinear three-point boundary value problems[J]. J Math Anal Appl, 2003, 279: 216-227.
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  • 9Gupta 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(3) : 540.
  • 10Gupta C P. A sharper condition for the solvability of a three-point second order boundary value problem[J]. J Math Anal Appl, 1997, 205(3) : 579.

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