Solutions of perturbed Hammerstein integral equations with applications. (February 2017)

• Record Type: Journal Article
• Authors: Cianciaruso, Filomena; Infante, Gennaro; Pietramala, Paolamaria
• Is Part Of: Nonlinear analysis. Volume 33(2017)
• Page Start: 317
• Page End: 347
• Publication Date: 2017-02
• Subjects: Fixed point index -- Cone -- Nontrivial solution -- Nonlinear boundary conditions; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.07.004
• Languages: English
• ISSNs: 1468-1218

Abstract

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.