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含有一阶导数的二阶边值问题的正解 被引量:10

Positive Solutions of Second Boundary Value Problems with Dependence on the First Order Derivative
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摘要 应用锥理论和不动点指数方法,获得了一类含有一阶导数的二阶边值问题正解的存在性结果. By using the cone theory and the fixed point index, we will study the existence of positive solutions of a class of boundary value problem with dependence on the first order derivative.
出处 《应用数学学报》 CSCD 北大核心 2009年第1期106-111,共6页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10671167)资助项目.
关键词 边值问题 不动点指数 boundary value problems fixed point index, cone
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参考文献8

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同被引文献39

  • 1李永祥.抽象半线性发展方程初值问题解的存在性[J].数学学报(中文版),2005,48(6):1089-1094. 被引量:66
  • 2苏华,王保合.一类三阶二点半正边值问题的正解及其应用[J].工程数学学报,2006,23(5):927-930. 被引量:8
  • 3舒小保,徐远通,黎永锦.一类二阶常微分方程奇异边值问题多重解的至少个数[J].应用数学学报,2006,29(6):1004-1016. 被引量:3
  • 4Anderson D, Avery R I. Multiple positive solutions to a third-order discrete focal boundary value problem[J]. Compu math Appl, 2001,42 (35) : 333-340.
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  • 8Yan Xinli. The existence and uniqueness of solution for nonlinear operator equations[J]. Math. Japonica, 1992,37(3):519-527.
  • 9Yao Qing-liu. the existence theorem of solution for a singular third-order two points Boundary value problem[ J]. Chin. Quart. J. of math,2008,23( 1 ) :61-66.
  • 10Ma R. Existence results of a m-point boundary value problem at resonance[J]. J Math Anal Appl, 2004 (294): 147-157.

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