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二阶p-Laplacian方程多点边值问题正解的存在性与拟线性迭代
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国家自然科学基金(10671094)


Existence and quasilinear iteration of positive solutions for second order multi-point boundary value problems with p-Laplacian operator
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    [1] 纪德红,田玉,葛渭高.带p-Laplacian算子多点边值问题正解的存在性[J].数学学报:中文版,2009,52(1):1-8 JI Dehong,TIAN Yu,GE Weigao.The existence of postive solution of multi-point boundary value problem with a p-Laplacian operator[J].Acta Mathematica Sinica:Chinese Series,2009,52(1):1 -8
    [2] 赵俊芳,王文丽,葛渭高.具p-Laplacian算子的多点边值问题三个对称正解的存在性[J].数学学报:中文版,2009,52(2):259-268 ZHAO Junfang,WANG Wenli,GE Weigao.Three symmetric posi-tive solutions for multi-point boundary value problems with one di-mensional p-Laplacian[J].Acta Mathematica Sinica:Chinese Se-ries,2009,52 (2):259-268
    [3] BAI Chuanzhi,FAQNG Jinxuan.Existence of multiple positive so-lutions for nonlinear m-point boundary value problems[J].Ap-plied Mathematics and Computation,2003,140(2/3):297-305
    [4] 孙博,葛渭高.一类具p-Laplacian算子的多点边值问题单调迭代正解的存在性[J].数学的实践与认识,2007,37(23):115-119 SUN Bo,GE Weigao.Existence and successive iteration of positive solutions for multipoint boundary value problems with p-Laplacian[J].Mathematics in Practice and Theory,2007,37(23):115-119
    [5] 马德香,葛渭高.具p-Laplacian算子的多点边值问题迭代解的存在性[J].系统科学与数学,2007,27(5):730-742 MA Dexiang,GE Weigao.The existence of iterative solutions for the one-dimensional p-Laplacian[J].Journal of Systems Science and Mathematical Science,2007,27(5):730-742
    [6] 马德香,葛渭高.一维p-Laplacian方程多点边值问题迭代解的存在性[J].数学学报:中文版,2008,51(3):447-456 MA Dexiang,GE Weigao.Existence and iteration of solutions for a multi-point boundary value problems with p-Laplacian operator[J].Acta Mathematica Sinica:Chinese Series,2008,51 (3):447-456
    [7] Pei Minghe,Sung Kag Chang.The generalized quasilinearization method for second-order three-point boundary value problems[J].Nonlinear Analysis,2008,68(9):2779-2790
    [8] Pei Minghe,Sung Kag Chang.A quasilinearization method for sec-ond-order four-point boundary value problems[J].Applied Mathe-matics and Computation,2008,202(1):54-66
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仓曰华,肖建中,刘勤凤.二阶p-Laplacian方程多点边值问题正解的存在性与拟线性迭代[J].南京信息工程大学学报(自然科学版),2010,(6):503-509
CANG Yuehua, XIAO Jianzhong, LIU Qinfeng. Existence and quasilinear iteration of positive solutions for second order multi-point boundary value problems with p-Laplacian operator[J]. Journal of Nanjing University of Information Science & Technology, 2010,(6):503-509

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  • 收稿日期:2010-02-06

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