Existence of asymptotically periodic solutions of scalar Volterra difference equations
Diblík, Josef ; Růžičková, Miroslava ; Schmeidel, Ewa
Tatra Mountains Mathematical Publications, Tome 43 (2009), / Harvested from Mathematical Institute
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In the paper is used a version of Schauder's fixed point theorem to prove the existence of asymptotically periodic solutions of a scalar Volterra difference equation. Along with the existence of asymptotically periodic solutions, sufficient conditions for the nonexistence of such solutions are derived. Results are illustrated on examples.

Publié le : 2009-01-01
DOI : https://doi.org/10.2478/tatra.v43i0.20 
@article{20,
     title = {Existence of asymptotically periodic solutions of scalar Volterra difference equations},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {43},
     year = {2009},
     doi = {10.2478/tatra.v43i0.20},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/20}
}

Diblík, Josef; Růžičková, Miroslava; Schmeidel, Ewa. Existence of asymptotically periodic solutions of scalar Volterra difference equations. Tatra Mountains Mathematical Publications, Tome 43 (2009) . doi : 10.2478/tatra.v43i0.20. http://gdmltest.u-ga.fr/item/20/