Asymptotic behaviour of a difference equation with complex-valued coefficients
Kalas, Josef
Archivum Mathematicum, Tome 041 (2005), p. 311-323 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2005-01-01
Classification:  39A11 
@article{107961,
     author = {Josef Kalas},
     title = {Asymptotic behaviour of a difference equation with complex-valued coefficients},
     journal = {Archivum Mathematicum},
     volume = {041},
     year = {2005},
     pages = {311-323},
     zbl = {1122.39006},
     mrnumber = {2188386},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107961}
}

Kalas, Josef. Asymptotic behaviour of a difference equation with complex-valued coefficients. Archivum Mathematicum, Tome 041 (2005) pp. 311-323. http://gdmltest.u-ga.fr/item/107961/

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