Asymptotic behavior of the solutions of the second order difference equation
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- by Andrzej Drozdowicz and Jerzy Popenda PDF
- Proc. Amer. Math. Soc. 99 (1987), 135-140 Request permission
Abstract:
The second order difference equation (E) \[ {\Delta ^2}{x_n} + {p_n}f({x_n}) = 0\] is considered. The results give a necessary and sufficient condition for some solution of (E) to have asymptotic behavior ${x_n} \sim C = \text {const}$. as $n$ approaches infinity.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 135-140
- MSC: Primary 39A12; Secondary 34K15
- DOI: https://doi.org/10.1090/S0002-9939-1987-0866443-0
- MathSciNet review: 866443