A positive solution for singular discrete boundary value problems with sign-changing nonlinearities

Haishen Lã¼, Donal O'regan and Ravi P. Agarwal

International Journal of Stochastic Analysis, 2006, vol. 2006, 1-14

Abstract:

This paper presents new existence results for the singular discrete boundary value problem − Δ 2 u ( k − 1 ) = g ( k , u ( k ) ) + λ h ( k , u ( k ) ) , k ∈ [ 1 , T ] , u ( 0 ) = 0 = u ( T + 1 ) . In particular, our nonlinearity may be singular in its dependent variable and is allowed to change sign.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:046287

DOI: 10.1155/JAMSA/2006/46287

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