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非线性奇异二阶三点边值问题的正解 被引量:2

POSITIVE SOLUTION OF NONLINEAR SINGULAR SECOND-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
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摘要 分别在 0≤f+0 <M ,m <f-∞ ≤∞ ,0≤f+∞ <M ,m <f-0 ≤∞情形下研究了非线性奇异二阶边值问题u″+a(t)f(u) =0 ,   0 <t <1,αu(0 ) - βu′(1) =0 ,u(1) -ku(η) The author studies the nonlinear singular second-order three-point boundary value problem under the extensive conditions. The proof makes use of the theorem in cone theory.
作者 徐夫义
出处 《曲阜师范大学学报(自然科学版)》 CAS 2004年第4期11-14,共4页 Journal of Qufu Normal University(Natural Science)
基金 国家自然科学基金资助项目 ( 198710 48) 山东省优秀中青年科学家科研奖励基金项目 ( 02BS119)
关键词 奇异边值问题 正解 second-order three-point boundary value problem positive solutions cone
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同被引文献14

  • 1冯强,赵增勤.奇异非线性二阶三点边值问题正解的存在性[J].商丘师范学院学报,2006,22(5):21-24. 被引量:1
  • 2柏传志,徐新亚.二阶微分方程边值问题对称正解的存在性[J].辽宁师范大学学报(自然科学版),2006,29(3):285-288. 被引量:2
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