DocumentCode
526308
Title
Notice of Retraction
Three positive solutions of nonlinear boundary value problems with sign changing nonlinearity
Author
Feng Xu
Author_Institution
Sch. of Sci., Shandong Univ. of Technol., Zibo, China
Volume
7
fYear
2010
fDate
9-11 July 2010
Firstpage
45
Lastpage
48
Abstract
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
In this paper, we study the existence of positive solutions for a class nonlinear boundary value problem { (Φp(u´))´+ a(t)f(u) = 0, 0 <; t <; 1, u´(0) =u(1) = 0, Φp(s)= |s|p-2s, p>1. We obtain the existence of three positive solutions by using Leggett-Williams fixed-point theorem in a cone. Especially, the nonlinear terms f is allowed to change sign. The conclusions in this paper essentially extend and improve the known results.
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
In this paper, we study the existence of positive solutions for a class nonlinear boundary value problem { (Φp(u´))´+ a(t)f(u) = 0, 0 <; t <; 1, u´(0) =u(1) = 0, Φp(s)= |s|p-2s, p>1. We obtain the existence of three positive solutions by using Leggett-Williams fixed-point theorem in a cone. Especially, the nonlinear terms f is allowed to change sign. The conclusions in this paper essentially extend and improve the known results.
Keywords
boundary-value problems; Leggett-Williams fixed-point theorem; nonlinear boundary value problems; sign changing nonlinearity; Artificial intelligence; Cone; Fixed point index; Nonlinear boundary value problems; Positive solution;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Science and Information Technology (ICCSIT), 2010 3rd IEEE International Conference on
Conference_Location
Chengdu
Print_ISBN
978-1-4244-5537-9
Type
conf
DOI
10.1109/ICCSIT.2010.5563548
Filename
5563548
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