Geodesic
Weighted Averaging Techniques in Oscillation Theory for Second Order Difference Equations
Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 61-69

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DOI

We consider the self-adjoint second-order scalar difference equation (1) Δ(rnΔxn) +pnXn+1 = 0 and the matrix system (2) Δ(RnΔXn) + PnXn+1 = 0, where are seQuences of real numbers (d x d Hermitian matrices) with rn > 0(Rn > 0). The oscillation and nonoscillation criteria for solutions of (1) and (2), obtained in [3, 4, 10], are extended to a much wider class of equations by Riccati and averaging techniques.
DOI : 10.4153/CMB-1992-009-9
Mots-clés : 39A10. 
Weighted Averaging Techniques in Oscillation Theory for Second Order Difference Equations. Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 61-69. doi: 10.4153/CMB-1992-009-9
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     doi = {10.4153/CMB-1992-009-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-009-9/}
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