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Existence Theory for Single and Multiple Positive Solutions to Singular Boundary Value Problems for Second-order Differential Systems P-Laplacian 被引量：4

Existence Theory for Single and Multiple Positive Solutions to Singular Boundary Value Problems for Second-order Differential Systems P-Laplacian
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作者 ZHAO Xia HU Wei-min JIANG Da-qing
机构地区 School of Mathematics and Statistics School ofMathematics and Statistics
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第3期345-354,共10页 数学季刊（英文版）
singular existence boundary value problem fixed point theorem in cones Arzela-Ascoli theorem
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献15

  • 1AGARWAL R P, O'REGAN D. Nonlinear superlinear singular and nonsingular second order boundary value problems[J]. J Differential Equations, 1998, 143: 60-95.
  • 2AGARWAL R P, O'REGAN D. Twin solutions to singular Dirichlet problems[J]. J Math Anal Appl, 1999, 240: 433-445.
  • 3AGARWAL R P, O'REGAN D. Existence theory for single and multiple solutions to singular posit one boundary value problems[J]. J Differential Equations, 2001, 175: 393-414 .. ,.
  • 4De COSTER C. Pairs of positove solutions for the one-dimensional p-Laplacian[J]. Nonlinear Analysis, 1994, 23: 669-681.
  • 5JIANG Da-qing. Multiple positive solutions to singular boundary value problems for superlinear higher?order ODEs[J]. Computers and Mathematics with Applications, 2000, 40: 249-259.
  • 6JIANG Da-qing. Upper and lower solutions method and a superlinear singular boundary value problem for the one-dimension p-Laplacian[J]. Computers and Mathematics with Applications, 2001, 42: 927-940.
  • 7TALIAFERRO S. A nonlinear singular boundary value problem[J]. Nonlinear Analysis, 1979,3: 897-904.
  • 8KONG Ling-bin, WANG Jun-yu. Multiple positive solutions for the one-dimensional p-Laplacian[J]. Non?linear Analysis, 2000, 42: 1327-1333.
  • 9ZHANG Mei-rong. Nonuniform nonresonance at the first eigenvalue of the p-LapJacian[J]. Nonlinear Anal?ysis, 1997, 29: 41-51.
  • 10XU Xiao-jie, JIANG Da-qing, Twin positive solutions to singular boundary value problems of second-order differential systems[J]. J Pure Appl Math, 2003, 34(1): 85-99.

二级参考文献34

  • 1AGARWAL R P,O'REGAN D.Boundary value problems for discrete equations[J].Appl Math Letters,1997,10:83-89.
  • 2AGARWAL R P,O'REGAN D.Singular discrete (n,p) boundary value problems[J].Appl Math Letters,1999,12:113-119.
  • 3AGARWAL R P,O'REGAN D,WONG P J Y.Positive Solutions of Differential Difference and Integral Equations[M].Dordrecht:Kluwer Acad Publ,1999.
  • 4AGARWAL R P,O'REGAN D.Singular initial and boundary value problems with sign changing nonlinear-ities[J].IMA J of Appl Math,2000,65:173-198.
  • 5AGARWAL R P,O'REGAN D.Some new existence results for singular problems with sign changing non-linearities[J].J Comput Appl Math,2000,113:1-15.
  • 6Agarwal R P,O'REGAN D,LAKSHMIKANTHAM V,et al.Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach[J].Nonlinear Analysis,2002,50:215-222.
  • 7AGARWAL R P,O'REGAN D,LAKSHMIKANTHAM V,et al.An upper and lower solution theory for singular Emden-Fowler equations[Jj.Nonlinear Analysis Real World Applications,2002,3:275-291.
  • 8HABETS P,ZANOLIN F.Upper and lower solutions for a generalized Emden-Fowler equation[J].Jour Math Anal Appl,1994,181:684-700.
  • 9HENDERSON J.Singular boundary value problems for difference equations[J].Dynamics Systems and Applications,1992:271-282.
  • 10HENDERSON J.Singular Boundary Value Problems for Higher Order Difference Equations[A].LAKSHMIKANTHAM V,In Proceedings of the First World Congress on Nonlinear Analysis[C].Walter de Gruyter,1994:1139-1150.

共引文献11

同被引文献13

引证文献4

二级引证文献2

Chinese Quarterly Journal of Mathematics
2013年 第3期

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