Asymptotic behaviour of a difference equation with complex-valued coefficients
Archivum Mathematicum (2005)
- Volume: 041, Issue: 3, page 311-323
- ISSN: 0044-8753
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topKalas, Josef. "Asymptotic behaviour of a difference equation with complex-valued coefficients." Archivum Mathematicum 041.3 (2005): 311-323. <http://eudml.org/doc/249482>.
@article{Kalas2005,
abstract = {The asymptotic behaviour for solutions of a difference equation $z_n = f(n,z_n)$, where the complex-valued function $f(n,z)$ is in some meaning close to a holomorphic function $h$, and of a Riccati difference equation is studied using a Lyapunov function method. The paper is motivated by papers on the asymptotic behaviour of the solutions of differential equations with complex-valued right-hand sides.},
author = {Kalas, Josef},
journal = {Archivum Mathematicum},
keywords = {difference equations; asymptotic behaviour; Lyapunov functions; first order difference equation; asymptotic behaviour; Lyapunov functions},
language = {eng},
number = {3},
pages = {311-323},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic behaviour of a difference equation with complex-valued coefficients},
url = {http://eudml.org/doc/249482},
volume = {041},
year = {2005},
}
TY - JOUR
AU - Kalas, Josef
TI - Asymptotic behaviour of a difference equation with complex-valued coefficients
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 3
SP - 311
EP - 323
AB - The asymptotic behaviour for solutions of a difference equation $z_n = f(n,z_n)$, where the complex-valued function $f(n,z)$ is in some meaning close to a holomorphic function $h$, and of a Riccati difference equation is studied using a Lyapunov function method. The paper is motivated by papers on the asymptotic behaviour of the solutions of differential equations with complex-valued right-hand sides.
LA - eng
KW - difference equations; asymptotic behaviour; Lyapunov functions; first order difference equation; asymptotic behaviour; Lyapunov functions
UR - http://eudml.org/doc/249482
ER -
References
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