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Nonoscillatory solutions to second-order neutral difference equations - MaRDI portal

Nonoscillatory solutions to second-order neutral difference equations (Q2333609)

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Nonoscillatory solutions to second-order neutral difference equations
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    Nonoscillatory solutions to second-order neutral difference equations (English)
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    13 November 2019
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    Summary: We study asymptotic behavior of nonoscillatory solutions to second-order neutral difference equation of the form: \(\Delta(r_n \Delta(x_n + p_n x_{n - \tau})) = a_n f(n, x_n) + b_n .\) The obtained results are based on the discrete Bihari type lemma and a Stolz type lemma.
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    second-order difference equation
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    asymptotic behavior
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    nonoscillatory solution
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    quasi-difference
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