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POSITIVE SOLUTIONS FOR SINGULAR BOUNDARY VALUE PROBLEM OF SECOND ORDER 被引量:2

POSITIVE SOLUTIONS FOR SINGULAR BOUNDARY VALUE PROBLEM OF SECOND ORDER
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摘要 Some results of existence of positive solutions for singular boundary value problems{-u″(t) = p(t)f(u(t)), t ∈ (0, 1),u(0) = u(1) = 0are given, where the function p(t) may be singular at t = 0,1. Some results of existence of positive solutions for singular boundary value problems {-u'(t)=p(t)f(u(t)), t∈(0,1), u(0)=u(1)=0 are given, where the function p(t) may be singular at t = 0, 1.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第3期383-392,共10页 数学年刊(B辑英文版)
基金 Project supported by the 973 Project of the Ministry of Science and Technology of China (No.G1999075109)
关键词 奇异边界值 单一性 正解 变化法 函数 Singular boundary value problem Positive solutions Variational method
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参考文献5

  • 1[1]Donal O'Regan, Theorey of Singular Boundary Value Problems, World Scientific, Singapore, 1994.
  • 2[2]Ravi P. Agazwal & Donal O'Regan, Nonlinear superlinear singular and nonsingular second order boundary value problems, J. Differential Eq., 143(1998), 60-95.
  • 3[3]Zhao, Z. Q., Positive solution of boundary value problem of nonlinear singular differential equation (in Chinese), Acta Math., 43(2000), 179-188.
  • 4[4]Chang, K. C., Critical Point Theory and Its Applications (in Chinese), Shanghai Scientific and Technological Literature Publishing, 1986.
  • 5[5]Liu, J. Q., Positive solutions for singular boundary problem of second order (in Chinese), Journal of Qu Fu Normal University, 28:4(2002), 1-10.

同被引文献4

  • 1[2]Donal O'Regan.Solvability of Some forth (and Higher) Order Singular Boundary Value Problems[J].J Math Anal Appl,1991,161(1):78-116.
  • 2[3]Donal O'Regan.Theorey of Singular Boundary Value Problems[M].Singapore:World Scientific,1994.
  • 3[4]Ravi P Agazwal,Donal O'Regan.Nonlinear Superlinear Singular and Nonsingular Second Order Boundary Value Problems[J].J Differential Eq.,1998,143:60-95.
  • 4[6]Hardy G H,Littlewood J E,Pòlya G G.H.Inequalities[M].2nd Edition.Cambridge:Cambridge University Press,1952.

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