Geodesic
Asymptotic properties of solutions of higher order difference equations
Mathematica Bohemica, Tome 135 (2010) no. 1, pp. 29-39

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MR Zbl
Asymptotic properties of solutions of the difference equation of the form \[ \Delta ^m x_n=a_n\varphi (x_{\tau _1(n)},\dots ,x_{\tau _k(n)})+b_n \] are studied. Conditions under which every (every bounded) solution of the equation $\Delta ^my_n=b_n$ is asymptotically equivalent to some solution of the above equation are obtained.\\
Asymptotic properties of solutions of the difference equation of the form \[ \Delta ^m x_n=a_n\varphi (x_{\tau _1(n)},\dots ,x_{\tau _k(n)})+b_n \] are studied. Conditions under which every (every bounded) solution of the equation $\Delta ^my_n=b_n$ is asymptotically equivalent to some solution of the above equation are obtained.\\
DOI : 10.21136/MB.2010.140680
Classification : 39A10
Keywords: difference equation; asymptotic behavior 
Migda, Janusz. Asymptotic properties of solutions of higher order difference equations. Mathematica Bohemica, Tome 135 (2010) no. 1, pp. 29-39. doi: 10.21136/MB.2010.140680
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