Asymptotic behavior of \(m\)th order neutral difference equation with forced term (Q2717967)
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scientific article; zbMATH DE number 1606114
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of \(m\)th order neutral difference equation with forced term |
scientific article; zbMATH DE number 1606114 |
Statements
12 December 2001
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neutral difference equation
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nonoscillatory solutions
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asymptotic behaviour
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Asymptotic behavior of \(m\)th order neutral difference equation with forced term (English)
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The difference equation NEWLINE\[NEWLINE\Delta^m(x_n+\sum^k_{i=1} c_ix_{n-T_i})+\sum^r_{j=1} p_j(n)x_{n-\sigma_j}=R_n, \quad n\in\mathbb{N}_0,NEWLINE\]NEWLINE is investigated under such conditions that the nonoscillatory solutions \(x_n\) are converging to zero as \(n\to \infty\).
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