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Turkish Journal of Mathematics

Authors

JANUSZ MIGDA

DOI

10.3906/mat-1908-69

Abstract

In this paper the second-order difference equations of the form \[ \Delta^2 x_n=a_nf(n,x_{\sigma(n)})+b_n \] 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.

First Page

19

Last Page

30

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