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一类分数阶共轭边值问题正解的存在唯一性

Existence and Uniqueness of Positive Solution for Fractional Conjugate Boundary Value Problem
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摘要 利用凹算子不动点定理,得到一类分数阶共轭边值问题正解的存在唯一性结果,同时构造了一个迭代序列逼近这个正解. By using fixed point theorem of concave operator,the existence and uniqueness of the positive solution for a class of fractional conjugate boundary value problem is obtained and an iterative sequence is constructed to approximate this positive solution.
作者 郑凤霞 文武 谢茂森 Zheng Fengxia;Wen Wu;Xie Maosen(School of Mathematics,Sichuan University of Arts and Science,Dazhou 635000,China)
出处 《北华大学学报(自然科学版)》 CAS 2018年第4期421-425,共5页 Journal of Beihua University(Natural Science)
基金 四川省高校人文社会科学重点研究基地科研项目(NYJ20150604) 四川省教育厅一般项目(17ZB0370 18ZB0512)
关键词 凹算子不动点定理 分数阶边值问题 共轭边界条件 正解 fixed point theorem of concave operator fractional boundary value problem conjugate boundary condition positive solution
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  • 1Krasnoselskii M. A., Positive solutions of operator equations, Noordoff (Groningen), 1964.
  • 2Potter A. J. B., Applications of Hilbert's projective metric to certain classes of non-Homogeneous operators, Quart. J. Math. Oxford, 1977, 28(2): 93-99.
  • 3Bushell P. J., Hilberts metric and positive contraction mappings, Arch. Rational Mech. Anal., 1973, 52(4): 330-338.
  • 4Wan W. X., Conditions for contraction of mappings and Banach type fixed point theoorem, Acta Mathematica Sinica, Chinese Series, 1984, 27: 35-52.
  • 5Guo D. J., Fixed points and eigenelements of a class of concavex and convex operator, Chinese Sci. Bull., 1985, 15:1132-1135 .
  • 6Liang Z. D., Wang W. X., Li S. J., On concave operators, Acta Mathematica Sinica, English Series, 2006, 22(2): 577- 582.
  • 7Liang Z. D., Zhang L. L., Li S. J., Fixed point theorems for a class of mixed monotone operators, Z. Anal. Anwendungen, 2003, 22(3): 529-542.
  • 8Zhai C. B., Guo C. M., on α-convex operators, J. Math. Anal. Appl., 2006, 316: 556-565.
  • 9Guo D. J., Nonlinear functional analysis, Jinan: Shandong Science and Technology Press, 1985 .
  • 10Guo D. J., Lakshmikantham V., Nonlinear Problems in Abstract Cones, New York: Academic Press, 1988.

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