Asymptotic properties of solutions to second-order difference equations

In this paper the second-order difference equations of the form Δ2xn=anf(n,xσ(n))+bn are considered. We establish sufficient conditions for the existence of solutions with prescribed asymptotic behavior. In particular, we present conditions under which there exists an asymptotically linear solution. Moreover, we study the asymptotic behavior of solutions.

Keywords:

Difference equation, second-order, asymptotic behavior, approximative solution approximation of solution,

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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