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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 11
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Original Articles

Positive solutions for fourth-order singular p-Laplacian boundary value problems

Junhong Zhang School of Mechanical Engineering, Tianjin University, Tianjin 300072, P. R. China
&
Guoliang Shi Department of Mathematics, Tianjin University, Tianjin 300072, P. R. ChinaCorrespondence[email protected]
Pages 1373-1382 | Received 29 Jan 2006, Accepted 03 May 2006, Published online: 25 Jan 2007

References

  • Aftabizadeh , AR . 1986 . Existence and uniqueness theorems for fourth-order boundary value problems. . Journal of Mathematical Analysis and Applications , 116 : 415 – 426 .
  • Agarwal , AR . 1989 . On fourth-order boundary value problems arising in beam analysis. . Differential and Integral Equations , 2 : 91 – 110 .
  • Davis , JD , Henderson , J and Wong , PJY . 2000 . General Lidstone problems: multiplicity and symmetry of solutions. . Journal of Mathematical Analysis and Applications , 251 : 527 – 548 .
  • Ma , R , Zhang , J and Fu , S . 1997 . The method of lower and upper solutions for fourth-order two-point boundary value problems. . Journal of Mathematical Analysis and Applications , 215 : 415 – 422 .
  • Yang , Y . 1988 . Fourth-order two-point boundary value problems. . Proceedings of American Mathematical Society , 104 : 175 – 180 .
  • Pao , CV . 1999 . On fourth-order elliptic boundary value problems. . Proceedings of American Mathematical Society , 128 : 1023 – 1030 .
  • Shi , G and Chen , S . 2002 . Positive solutions of fourth order superlinear singular boundary value problems. . Bulletin of Australian Mathematical Society , 66 : 95 – 104 .
  • Shi , G and Chen , S . 2003 . Positive solutions of even higher order singular superlinear boundary value problems. . Computers and Mathematics with Applications , 45 : 593 – 603 .
  • Wei , Z . 1999 . Positive solutions of singular boundary value problems of fourth order differential equations. . Acta Mathematica Sinica , 42 : 715 – 722 .
  • Jiang , D and Gao , W . 2000 . Upper and lower solution method and a singular boundary value problems for the one-dimension p-Laplacian. . Journal of Mathematical Analysis and Applications , 252 : 631 – 638 .
  • Wei , Z . 2005 . Existence of positive solutions for 2nth-order singular sublinear boundary value problems. . Journal of Mathematical Analysis and Applications , 306 : 619 – 636 .

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