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POSITIVE ALMOST PERIODIC SOLUTIONS FOR THE HEMATOPOIESIS MODEL VIA THE HILBERT PROJECTIVE METRIC

Part of: Equations and inequalities involving nonlinear operators Difference and functional equations Control systems Difference equations

Published online by Cambridge University Press:  19 October 2016

HECHMI HATTAB
HECHMI HATTAB*
Affiliation:
F. S. Sfax, Univercité de Sfax, Route de la Soukra km 4–Sfax–3038, Tunisia I. S. I. M. Gabès, Université de Gabès, Cité Erriadh, Zrig, 6072, Gabès, Tunisia email hechmi.hattab@lamsin.rnu.tn
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Abstract

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The aim of this work is to prove the existence of a positive almost periodic solution to a multifinite time delayed nonlinear differential equation that describes the so-called hematopoiesis model. The approach uses the Hilbert projective metric in a cone. With some additional assumptions, we construct a fixed point theorem to prove the desired existence and uniqueness of the solution.

Keywords

hematopoiesis modelpositive almost periodic solutionsalmost periodic functionfixed point theorem in a coneHilbert projective metric

MSC classification

Primary: 39A24: Almost periodic solutions
Secondary: 47J35: Nonlinear evolution equations 93C15: Systems governed by ordinary differential equations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 95 , Issue 1 , February 2017 , pp. 84 - 93
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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