Asymptotic properties of solutions of higher order difference equations
Mathematica Bohemica (2010)
- Volume: 135, Issue: 1, page 29-39
- ISSN: 0862-7959
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topMigda, Janusz. "Asymptotic properties of solutions of higher order difference equations." Mathematica Bohemica 135.1 (2010): 29-39. <http://eudml.org/doc/38108>.
@article{Migda2010,
abstract = {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.},
author = {Migda, Janusz},
journal = {Mathematica Bohemica},
keywords = {difference equation; asymptotic behavior; difference equation; asymptotic behavior; bounded solution},
language = {eng},
number = {1},
pages = {29-39},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Asymptotic properties of solutions of higher order difference equations},
url = {http://eudml.org/doc/38108},
volume = {135},
year = {2010},
}
TY - JOUR
AU - Migda, Janusz
TI - Asymptotic properties of solutions of higher order difference equations
JO - Mathematica Bohemica
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 135
IS - 1
SP - 29
EP - 39
AB - 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.
LA - eng
KW - difference equation; asymptotic behavior; difference equation; asymptotic behavior; bounded solution
UR - http://eudml.org/doc/38108
ER -
References
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