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一类三阶三点方程组的正解存在性 被引量:1

The Existence of Positive Solutions for a Class of Third-Order Three-Point Systems
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摘要 利用范数形式的锥拉伸与锥压缩不动点定理研究了一类含p Laplacian算子的三阶三点非线性边值方程组的正解存在性,得到了新的结果. In this paper, we show the existence of the positive solutions of a third-order three-point system via the fixed point theorem of cone expansion-compression type.
作者 陈顺清
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2004年第4期553-558,共6页 Journal of Southwest China Normal University(Natural Science Edition)
基金 校级重点科研基金资助项目(达师专[2003]81号).
关键词 三阶三点边值问题 方程组 P-LAPLACIAN算子 正解 third-order three-point boundary value problems equation systems p-Laplacian operator positive solutions systems
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参考文献7

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二级参考文献5

  • 1A. M. Fink & J. A. Gatica. positive solutions of second order systems of boundary value problems[J]. J.Math. Anal. Appl, 1993,180:93~108.
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共引文献20

同被引文献5

  • 1郭大钧 孙经先.拓朴度的计算及应用.数学研究与评论,1988,(3):469-480.
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  • 5李翠哲,葛渭高.一维p-Laplacian奇异Sturm-Liouville边值问题的正解[J].应用数学,2002,15(3):13-17. 被引量:17

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