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Convergent solutions of linear functional difference equations in phase space |
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| Authors: | Claudio Cuevas Manuel Pinto |
| Affiliation: | a Departamento de Matemática, Universidade Federal de Pernambuco, Recife, PE, Brazil b Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile |
| Abstract: | By using weighted summable dichotomies and Schauder's fixed point theorem, we prove the existence of convergent solutions of linear functional difference equations. We apply our result to Volterra difference equations with infinite delay. |
| Keywords: | Functional difference equations Phase space Summable dichotomies Volterra difference equation Convergent solutions Schauder's theorem |
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