Coupled nonlinear systems functional boundary conditions Schauder xed point theory thyroid-pituitary homeostatic mechanism mathematical modelling
Whiley Online Library
J. Fialho, F. Minhós, Existence results for functional first order coupled systems and applications, Mathematical Methods in the Applied Sciences, (2019) 2398-2403
This paper is concerned with the existence of solutions of the rst order
fully coupled system with coupled functional boundary conditions.
These functional boundary conditions generalize the usual boundary
assumptions and may be applied to most of the classical cases.
The arguments used are based on the Arzela Ascoli theorem and
Schauder's xed point theorem.
An application to a mathematical model of the thyroid-pituitary
interaction and their homeostatic mechanism is included.