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Existence of Positive Solutions for a Class of Sigular Boundary Value Problem of Fourth Order 被引量:2

Existence of Positive Solutions for a Class of Sigular Boundary Value Problem of Fourth Order
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摘要 Some results concerning existence of positive solutions for the singular boundary value problems have been given, where f(t, x) may be singular at t = 0, 1. Some results concerning existence of positive solutions for the singular boundary value problems have been given, where f(t, x) may be singular at t = 0, 1.
作者 MingXiong
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2004年第4期665-674,共10页 应用数学学报(英文版)
关键词 Singular boundary value problem positive solution variational method Singular boundary value problem positive solution variational method
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参考文献7

  • 1Aftabizadeh, A.R. Existence and uniqueness theorems for fourth order boundary value problems. J. Math.Anal. Appl. 116(2): 415-426 (1986)
  • 2Chong, Kung-chang. Infinite dimensional theory and multiple solution problems. Birkhauser, Boston,1993
  • 3Donal, O'Regan. Solvability of some forth (and higher ) order singular boundary value problems. J. Math.Anal. Appl., 161(1): 78-116 (1991)
  • 4Donal, O'Regan. Theorey of singular boundary value problems. World Scientific, Singapore, 1994
  • 5Hardy, G.H., Littlewood, J.E., Pblya, G. Inequalities. Cambrridge University Press, 2nd Edition 1952
  • 6Liu, Jiaquan, Xiong, Ming. Positive solutions for singular boundary problem of fourth order. (preprint)
  • 7Wei, Zhongli. Positive solutions of singular boundary value problems of fourth order differential equations.Acta Math., 43:715-722 (1999) (in Chinese)

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