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一类半正二阶三点边值问题的可解性 被引量:2

SOLVABILITY FOR A SEMIPOSITION SECOND-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
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摘要 研究了一类半正二阶非线性常微分方程的三点边值问题u″ +λf(t,u) =0 ,u′(0 ) =0 ,u(1 ) =αu(η) 。 A three-point boundary value problem for a semi-positone second-order differential equation is investigated. By using Krasnosel'skii fixed point theorem, a sufficient condition for the existence of positive solution is obtained.
作者 孙永平
出处 《曲阜师范大学学报(自然科学版)》 CAS 2004年第3期7-10,共4页 Journal of Qufu Normal University(Natural Science)
基金 山东省自然科学基金资助项目 (Z2 0 0 0A0 2 ) 山东省科技计划项目 (J0 2P0 1)
关键词 半正 三点边值问题 正解 存在性 semi-positone three-point boundary value problem positive solution existence
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参考文献5

  • 1Ma R. Existence theorems for second order three-point boundary value problems [ J]. J Math Anal Appl, 1997,212:545 ~ 555.
  • 2Gupta C P. Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equations [ J]. J Math Anal Appl, 1992,168:540 ~ 551.
  • 3Gupta C P. A sharper condition for the solvability of a three-point second order boundary value problem [J]. J Math Anal Appl, 1997, 205: 586 ~ 597.
  • 4Ma R. Positive solutions of a nonlinear three-point boundary value problems [J]. Electron J Differential Equations, 1999,34:1 ~ 8.
  • 5Gupta C P. Solvability of an m-point nonlinear boundary value problem for second order ordinary differential equations [J]. J Math Anal Appl, 1995,189:575 ~ 584.

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