Existence theory for single and multiple solutions to semipositone discrete Dirichlet boundary value problems with singular dependent nonlinearities

Daqing Jiang, Lili Zhang, Donal O'Regan and Ravi P. Agarwal

International Journal of Stochastic Analysis, 2003, vol. 16, 1-13

Abstract:

In this paper we establish the existence of single and multiple solutions to the semipositone discrete Dirichlet boundary value problem { Δ 2 y ( i − 1 ) + μ f ( i , y ( i ) ) = 0 , i ∈ { 1 , 2 , … , T } y ( 0 ) = y ( T + 1 ) = 0 , where μ > 0 is a constant and our nonlinear term f ( i , u ) may be singular at u = 0 .

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:691417

DOI: 10.1155/S1048953303000029

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