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Positive Solutions of a Singular Positone and Semipositone Boundary Value Problems for Fourth-Order Difference Equations

This paper studies the boundary value problems for the fourth-order nonlinear singular difference equations Δ4u(i−2)=λα(i)f(i,u(i)), i∈[2,T+2], u(0)=u(1)=0, u(T+3)=u(T+4)=0. We show the existence of positive solutions for positone and semipositone type. The nonlinear term may be singular. Two exampl...

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Autor principal: Chengjun Yuan
Format: Artigo
Idioma:Inglês
Publicat: Wiley 2010-01-01
Col·lecció:Discrete Dynamics in Nature and Society
Accés en línia:http://dx.doi.org/10.1155/2010/312864
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