Three positive solutions of boundary value problems for p-Laplacian difference equations

Authors:
Da-Bin Wang;Wen Guan
Affiliations:
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu, 730050, People's Republic of China;Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu, 730050, People's Republic of China
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

In this paper, existence criteria for three positive solutions of p-Laplacian difference equation @?[@F"p(@?u(t-1))]+a(t)f(u(t))=0,t@?[1,T+1],@?u(0)=u(T+2)=0,oru(0)=@?u(T+1)=0, are established by using the Five Functionals Fixed Point Theorem. As an application, one example is given to illustrate the main result in this paper.