Geodesic
Existence of positive periodic solutions for a class of nonautonomous difference equations
Electronic journal of differential equations, Tome 2006 (2006)
In this article, we investigate the existence of positive periodic solutions for a class of non-autonomous difference equations. Using the Krasnoselskii fixed point theorem, we establish sufficient criteria that are easily verifiable and that generalize and improve related studies in the literature. Numerical simulations are presented which support our theoretical results for some concrete models.
Classification : 34K45, 34K13, 92D25
Keywords: nonautonomous difference equations, periodic solution, Krasnoselskii fixed point theorem, numerical simulations 
@article{EJDE_2006__2006__a188,
     author = {Zeng,  Zhijun},
     title = {Existence of positive periodic solutions for a class of nonautonomous difference equations},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1093.39014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a188/}
}
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Zeng,  Zhijun. Existence of positive periodic solutions for a class of nonautonomous difference equations. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a188/