A focal boundary value problem for difference equations

Cathryn Denny and Darrel Hankerson

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-8

Abstract:

The eigenvalue problem in difference equations, ( − 1 ) n − k Δ n y ( t ) = λ ∑ i = 0 k − 1 p i ( t ) Δ i y ( t ) , with Δ t y ( 0 ) = 0 , 0 ≤ i ≤ k , Δ k + i y ( T + 1 ) = 0 , 0 ≤ i < n − k , is examined. Under suitable conditions on the coefficients p i , it is shown that the smallest positive eigenvalue is a decreasing function of T . As a consequence, results concerning the first focal point for the boundary value problem with λ = 1 are obtained.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:186381

DOI: 10.1155/S0161171293000201

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