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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 1
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Articles

Monotone iteration method for differential equations involving integral boundary conditions on the half line

Pages 72-95 | Received 28 Feb 2011, Accepted 18 May 2011, Published online: 19 Sep 2011

References

  • Zhang , X . 2009 . Successive iteration and positive solutions for a second-order multi-point boundary value problem on a half-line . Comput. Math. Appl. , 58 : 528 – 535 .
  • Yan , B , O'Regan , D and Agarwal , RP . 2006 . Unbounded solutions for singular boundary value problems on the semi-infinite interval: Upper and lower solutions and multiplicity . J. Comput. Appl. Math. , 197 : 365 – 386 .
  • Zhao , X and Ge , W . 2009 . Successive iteration and positive symmetric solution for a Sturm–Liouville-like four-point boundary value problem with a p-Laplacian operator . Nonlinear Anal. TMA , 71 : 5531 – 5544 .
  • Sun , B , Miao , C and Ge , W . 2008 . Successive iteration and positive symmetric solutions for some Sturm-Liouville-like four-point p-Laplacian boundary value problems . Appl. Math. Comput. , 201 : 481 – 488 .
  • Sun , B and Ge , W . 2008 . Existence and iteration of positive solutions to a class of Sturm-Liouville-like p-Laplacian boundary value problems . Nonlinear Anal. TMA , 69 : 1454 – 1461 .
  • Zhang , X . 2009 . Existence and iteration of monotone positive solutions for an elastic beam equation with a corner . Nonlinear Anal. RWA , 10 : 2097 – 2103 .
  • Sun , B and Ge , W . 2007 . Existence and iteration of positive solutions for some p-Laplacian boundary value problems . Nonlinear Anal. TMA , 67 : 1820 – 1830 .
  • Sun , B and Ge , W . 2007 . Successive iteration and positive pseudo-symmetric solutions for a three-point second-order p-Laplacian boundary value problems . Appl. Math. Comput. , 188 : 1772 – 1779 .
  • Sun , B , Qu , Y and Ge , W . 2008 . Existence and iteration of positive solutions for a multipoint one-dimensional p-Laplacian boundary value problem . Appl. Math. Comput. , 197 : 389 – 398 .
  • Sun , B , Yang , A and Ge , W . 2009 . Successive iteration and positive solutions for some second-order three-point p-Laplacian boundary value problems . Math. Comput. Model. , 50 : 344 – 350 .
  • Sun , B , Zhao , Z , Yang , P and Ge , W . 2009 . Successive iteration and positive solutions for a third-order multipoint generalized right-focal boundary value problem with p-Laplacian . Nonlinear Anal. TMA , 70 : 220 – 230 .
  • Ma , D , Du , Z and Ge , W . 2005 . Existence and iteration of monotone positive solutions for multipoint boundary value problem with p-Laplacian operator . Comput. Math. Appl. , 50 : 729 – 739 .
  • Agarwal , RP and O'Regan , D . 2001 . Infinite Interval Problems for Differential, Difference and Integral Equations , Dordrecht : Kluwer Academic Publisher .
  • Agarwal , RP and O'Regan , D . 2003 . Infinite interval problems modeling phenomena which arise in the theory of plasma and elesrical potential theory . Stud. Appl. Math. , 111 : 339 – 358 .
  • Eloe , PW , Kaufmann , ER and Tisdell , CC . 2006 . Multiple solutions of a boundary value problem on an unbounded domain . Dyn. Syst. Appl. , 15 ( 1 ) : 53 – 63 .
  • Lian , H , Wang , P and Ge , W . 2009 . Unbounded upper and lower solutions method for Sturm-Liouville boundary value problem on infinite intervals . Nonlinear Anal. TMA , 70 : 2627 – 2633 .
  • Belarbi , A , Benchohra , M and Ouahab , A . Multiple positive solutions for nonlinear boundary value problems with integral boundary conditions, Archivum Mathematicum (BRNO), 44 (2008), pp. 1–7
  • Benchohra , M , Hamani , S and Nieto , JJ . 2010 . The method of upper and lower solutions for second order differential inclusions with integral boundary conditions . Rocky Mountain J. Math. , 40 ( 1 ) : 13 – 26 .
  • Karakostas , GL . and P.Ch. Tsamatos, Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary value problem, Electron. J. Diff. Eqns. 30 (2002), pp. 1–17

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