A new approach of overlapping generation model via fixed point technique

Author:

Belhenniche Abdelkader12,Bota Monica-Felicia3,Guran Liliana4

Affiliation:

1. Research Center for Systems and Technologies (SYSTEC), ARISE, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias s/n, office i102, 4200-465 Porto, Portugal

2. Laboratoire d'Etudes Pratiques en Sciences de Gestion et Sciences Commerciales, Ecole Supérieure de Commerce, 42003 Kolea, Tipaza, Algérie

3. Department of Mathematics, Babeş-Bolyai University, M. Kogălniceanu Street, No. 1, 400084, Cluj-Napoca, Romania

4. Department of Hospitality Services, Babeş-Bolyai University, Horea Street, No. 7, 400174, Cluj-Napoca, Romania

Abstract

<abstract><p>This article explored a specific variant of the overlapping generation model using a nonlinear Fredholm integral equation. We considered assumptions related to the Ćirić operator, offering a new perspective compared to existing research. To solve the equation, we employed the Galerkin method, which approximates it as a finite system of equations. By combining these approaches, we conducted a comprehensive analysis of the model, providing insights into its dynamics and potential applications.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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