On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs Svetlin Georgiev Georgiev | Karima Mebarki | Show more Svetlin Georgiev Georgiev Bulgaria University of Sofia Department of Differential Equations, Faculty of Mathematics and Informatics Karima Mebarki https://orcid.org/0000-0002-6679-5059 Algeria University of Bejaia Laboratory of Applied Mathematics, Faculty of Exact Sciences. Submitted: 2020-03-10 | Accepted: 2021-04-09 | Published: 2021-10-01 DOI: https://doi.org/10.4995/agt.2021.13248