Existence results for functional first‐order coupled systems and applications. (25th February 2019)

• Record Type: Journal Article
• Authors: Fialho, João; Minhós, Feliz
• Is Part Of: Mathematical methods in the applied sciences. Volume 42:Number 7(2019)
• Page Start: 2398
• Page End: 2403
• Publication Date: 2019-02-25
• Subjects: coupled nonlinear systems -- functional boundary conditions -- mathematical modelling -- Schauder fixed‐point theory -- thyroid‐pituitary homeostatic mechanism; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5517
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : This paper is concerned with the existence of solutions of the first‐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 fixed‐point theorem. An application to a mathematical model of the thyroid‐pituitary interaction and their homeostatic mechanism is included.