Turkish Journal of Mathematics
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.
Keywords
Difference equation, second-order, asymptotic behavior, approximative solution, approximation of solution
First Page
19
Last Page
30
Recommended Citation
MIGDA, JANUSZ
(2020)
"Asymptotic properties of solutions to second-order difference equations,"
Turkish Journal of Mathematics: Vol. 44:
No.
1, Article 2.
https://doi.org/10.3906/mat-1908-69
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss1/2
