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Asymptotic periodicity of nonlinear discrete Volterra equations and applications |
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| Authors: | Angelamaria Cardone Ida Del Prete Hermann Brunner |
| Institution: | 1. Dipartimento di Matematica , Università degli Studi di Salerno , via Ponte don Melillo, I-84084 , Fisciano (Sa) , Italy ancardone@unisa.it;3. Dipartimento di Matematica e Applicazioni ‘R. Caccioppoli’ , Università degli Studi Napoli ‘Federico II’ , Via Cintia, Monte S. Angelo, I-80126 , Napoli , Italy;4. Department of Mathematics and Statistics , Memorial University of Newfoundland , St John's , NL , Canada , A1C 5S7 |
| Abstract: | Sufficient conditions for the asymptotic periodicity of solutions of nonlinear discrete Volterra equations of Hammerstein type are obtained. Such results are applied to analyze the property of a class of numerical methods to preserve the asymptotic periodicity of the analytical solution of Volterra integral equations. |
| Keywords: | discrete Volterra equations asymptotically periodic solutions Volterra integral equations θ-methods |