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- W2008333762 abstract "We consider the following two classes of second order boundary value problems for difference equation: Δ ( r i − 1 Δ y i − 1 ) − b i y i + λ a i y i = 0 , 1 ⩽ i ⩽ n , y 0 − τ y 1 = y n + 1 − δ y n = 0 with δ , τ ∈ [ 0 , 1 ] and Δ ( r i − 1 Δ y i − 1 ) − b i y i + λ a i y i = 0 , 1 ⩽ i ⩽ n , y 0 = α y n , y n + 1 = β y 1 with α , β ∈ [ 0 , 1 ] . We establish the existence of positive solutions to both problems. A solver with linear computational complexity for almost tridiagonal linear systems is developed by exploring the special structure of linear system of equations. Based on fast solvers for linear systems, effective algorithms for the computation of positive solutions will be proposed." @default.
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- W2008333762 date "2010-07-01" @default.
- W2008333762 modified "2023-09-24" @default.
- W2008333762 title "Positive solutions for boundary value problems of second order difference equations and their computation" @default.
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- W2008333762 doi "https://doi.org/10.1016/j.jmaa.2010.01.026" @default.
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