Self referred equations with an integral boundary condition
Abstract In this note, we study three differential problems with a dynamic, which are be represented by a self referred equation and a boundary condition, which are expressed as an integral constraint. We prove that under certain assumptions, there exists at least one solution of for all of these problems by using Schauder’s fixed point theorem. In the end, we propose briefly some open problems.
Authors
- Matteo Fasiello (ORCID: https://orcid.org/0000-0002-2532-5202)
- Eduardo Pascali (ORCID: https://orcid.org/0000-0003-0087-1191)
- Raffaele Grande (ORCID: https://orcid.org/0000-0002-8896-8563)
- Giacomo Chiriatti
Institutions
- University of Salento (IT)
- Czech Academy of Sciences, Institute of Information Theory and Automation (CZ)
Publication Details
- Journal
- Mathematica Slovaca
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1515/ms-2024-0109
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00