Solutions of perturbed Hammerstein integral equations with applications

By Filomena Cianciaruso, Gennaro Infante, Paolamaria Pietramala. 2016

69 citations recorded by the source corpus.

Abstract By means of topological methods, we provide new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of perturbed Hammerstein integral equations. In order to illustrate our theoretical results, we study some problems that occur in applied mathematics, namely models of chemical reactors, beams and thermostats. We also apply our theory in order to prove the existence of nontrivial radial solutions of systems of elliptic boundary value problems subject to nonlocal, nonlinear boundary conditions.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/69e7fc834737ce012049a32b6cfe55cd032f45e4

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In Applied Mathematics

1. Christopher S. Goodrich
2. Nihan Acar
3. Ferhan Merdivenci Atici
4. Carlos Lizama
5. Rajendra Dahal

In Numerical Analysis

1. Christopher S. Goodrich
2. Ferhan Merdivenci Atici
3. Nihan Acar

Citations in the corpus

• A topological approach to nonlocal elliptic partial differential equations on an annulus (2020, background): “One may refer to either the monograph by Guo and Lakshmikantham [28] or the monograph by Zeidler [58] for additional details – see also Infante and Pietramala [35, Lem.”