Chemical Reactor Dynamics: Stability of Steady States

Chicone, Carmen; Latushkin, Yuri; Retzloff, David G.

doi:10.1002/(sici)1099-1476(19960325)19:5<381::aid-mma791>3.0.co;2-s

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Existence and Non-existence Results For Perturbed Hammerstei...1

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“…has been studied, via different methods, by a number of authors, we refer the reader to [5,11,18,32,65,66,74,75] and references therein.…”

Section: Existence and Non-existence Results For Perturbed Hammerstei...mentioning

confidence: 99%

Solutions of perturbed Hammerstein integral equations with applications

Cianciaruso

Infante

Pietramala

2017

Nonlinear Analysis: Real World Applications

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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.

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“…has been studied, via different methods, by a number of authors, we refer the reader to [5,11,18,32,65,66,74,75] and references therein.…”

Section: Existence and Non-existence Results For Perturbed Hammerstei...mentioning

confidence: 99%