Asymptotic behavior of solutions to forced neutral difference equations (Q2748318)

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scientific article; zbMATH DE number 1659203
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Asymptotic behavior of solutions to forced neutral difference equations
scientific article; zbMATH DE number 1659203

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    10 December 2002
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    forced neutral difference equations
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    vibration
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    forcing terms
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    asymptotic behavior
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    difference inequalities
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    Asymptotic behavior of solutions to forced neutral difference equations (English)
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    The asymptotic behavior of solutions to the following neutral difference equation is studied via difference inequalities NEWLINE\[NEWLINE\Delta l(x_n-\sum_{i=1}^m p_i(n)x_{n-l_i} r)+ \sum_{j=1}^{m'} q_j(n)f(x_{n-k_j})=r_n.NEWLINE\]NEWLINE Sufficient conditions for the solution to tend to zero as \(n\) tends to infinity are also obtained.
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