A Hille-Wintner type comparison theorem for second order difference equations

John W. Hooker

International Journal of Mathematics and Mathematical Sciences, 1983, vol. 6, 1-7

Abstract:

For the linear difference equation Δ ( c n − 1 Δ x n − 1 ) + a n x n = 0 with c n > 0 , a non-oscillation comparison theorem given in terms of the coefficients c n and the series ∑ n = k ∞ a n , has been proved.

Date: 1983
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DOI: 10.1155/S0161171283000332

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