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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 1
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Original Articles

Positive solutions for singular boundary value problems with sign changing nonlinearities depending on x′ via index theory

Ravi P. Agarwal Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida 32901, USACorrespondence[email protected]
,
Donal O’Regan Department of Mathematics, National University of Ireland, Galway, Ireland
&
Baoqiang Yan Department of Mathematics, Shandong Normal University, Ji-nan 250014, P.R. China
Pages 19-39 | Received 14 Mar 2006, Accepted 30 Oct 2006, Published online: 10 Apr 2007

References

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  • Agarwal , RP , O'Regan , D and Stanek , S . 2003 . Positive solutions of singular problems with sign changing Caratheodory nonlinearities depending on x′ . Journal of Mathematical Analysis and Applications , 279 : 597 – 616 .
  • Agarwal , RP and O'Regan , D . 1999 . A note on existence of nonnegative solutions to singular semi-positone problems . Nonlinear Analysis , 36 : 615 – 622 .
  • Agarwal , RP , O'Regan , D and Lakshmikantham , V . 2003 . Existence criteria for singular boundary value problems modelling the membrane response of a spherical cap . Nonlinear Analysis: Real World Applications , 4 : 223 – 244 .
  • Agarwal , RP and O'Regan , D . 2002 . Existence criteria for singular boundary value problems with sign changing nonlinearities . Journal of Differential Equations , 183 : 409 – 433 .
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  • Agarwal , RP and Stanek , S . 2002 . Existence of positive solutions to singular semi-positone boundary value problems . Nonlinear Analysis , 51 : 821 – 842 .
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  • O'Regan , D . 1994 . Theory of singular boundary value problems , Singapore : World Scientific .
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  • Stanek , S . 2001 . Positive solutions for a class of singular semipositone boundary value problems . Mathematical and Computer Modelling , 33 : 353 – 361 .
  • Wang , J and Gao , W . 2000 . A note on singular nonlinear two-point boundary-value problems . Nonlinear Analysis , 39 : 281 – 287 .
  • Xu , X . 2002 . Positive solutions for singular semi-positone boundary value problems . Journal of Mathematical Analysis and Applications , 273 : 480 – 491 .
  • Yang , G . 2004 . Second order singular boundary value problems with sign-changing nonlinearities on infinity intervals . Nonlinear Analysis Forum , 9 : 169 – 174 .
  • Zhang , X and Liu , L . 2006 . Positive solutions of superlinear semi-positone singular Dirichlet boundary value problems . Journal of Mathematical Analysis and Applications , 316 : 525 – 537 .

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