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The Pushpa Publishing House proposes to organize a five day "International Conference on Mathematics of Date" from December 31, 2010 to January 04, 2011 scheduled to be held at Allahabad, India.

 
  JP Journal of Fixed Point Theory and Applications  
 ISSN: 0973-4228
 
 
 

     JP Journal of Fixed Point Theory and Applications
    Volume 4, Issue 1, Pages 11 - 16 (April 2009)


EIGENVALUES AND POSITIVE SOLUTIONS FOR A THIRD-ORDER THREE-POINT BOUNDARY-VALUE PROBLEM

Yeping Xu (P. R. China)

Received December 4, 2008

References:



[1] D. R. Anderson, Multiple positive solutions for a three-point boundary value problem, Math. Comput. Modelling 27(6) (1998), 49-57.

[2] D. R. Anderson, Green’s function for a third-order generalized right focal problem, J. Math. Anal. Appl. 288(1) (2003), 1-14.

[3] D. R. Anderson and J. M. Davis, Multiple solutions and eigenvalues for third order right focal boundary value problems, J. Math. Anal. Appl. 267(1) (2002), 135-157.

[4] Z. Bai and X. Fei, Existence of triple positive solutions for a third order generalized right focal problem, Math. Inequal. Appl. 9(3) (2006), 437-444.

[5] K. Deimling, Nonlinear Functional Analysis, Springer, Berlin, 1985.

[6] J. R. Graef and B. Yang, Multiple positive solutions to a three point third order boundary value problem, Discrete Contin. Dyn. Syst. (Suppl.) (2005), 1-8.

[7] A. P. Palamides and G. Smyrlis, Positive solutions to a singular third-order 3-point boundary value problem with an indefinitely signed Green’s function, Nonlinear Anal. 68(7) (2008), 2104-2118.

[8] Y. Sun, Positive solutions of singular third-order three-point boundary value problem, J. Math. Anal. Appl. 306(2) (2005), 589-603.

[9] Y. Sun, Existence of triple positive solutions for a third-order three-point boundary value problem, J. Comput. Appl. Math. 221(1) (2008), 194-201.

[10] Q. Yao, The existence and multipilicity of positive solutions for a third-order three-point boundary value problem, Acta Math. Appl. Sinica 19(1) (2003), 117-122.

[11] X. Zhang, L. Liu and C. Wu, Nontrivial solution of third-order nonlinear eigenvalue problems, Appl. Math. Comput. 176(2) (2006), 714-721.

Keywords and phrases: positive solution, third-order three-point BVP, Schauder fixed point theorem, eigenvalue.

 


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