Asymptotic behavior of the solutions of the second order difference equation-Reference-Cited by-同舟云学术

Asymptotic behavior of the solutions of the second order difference equation

Published:1987 Issue:1 Volume:99 Page:135-140
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Drozdowicz Andrzej,Popenda Jerzy

Abstract

The second order difference equation (E) \[ Δ 2 x n + p n f ( x n ) = 0 {\Delta ^2}{x_n} + {p_n}f({x_n}) = 0 \] is considered. The results give a necessary and sufficient condition for some solution of (E) to have asymptotic behavior x n ∼ C = const {x_n} \sim C = \text {const} . as n n approaches infinity.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1987-099-01/S0002-9939-1987-0866443-0/S0002-9939-1987-0866443-0.pdf

Reference10 articles.

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