Asymptotic Behavior of Solutions to Half-Linear -Difference Equations

Pavel Řehák

Abstract and Applied Analysis, 2011, vol. 2011, 1-12

Abstract:

We derive necessary and sufficient conditions for (some or all) positive solutions of the half-linear -difference equation , with , with , to behave like -regularly varying or -rapidly varying or -regularly bounded functions (that is, the functions , for which a special limit behavior of as is prescribed). A thorough discussion on such an asymptotic behavior of solutions is provided. Related Kneser type criteria are presented.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:986343

DOI: 10.1155/2011/986343

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