Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis

By employing the contraction mapping principle and applying Gronwall-Bellman's inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solution for nonlinear impulsive delay model of hematopoiesis.

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Bibliographic Details
Published in:	Boundary value problems Vol. 2009; no. 1; pp. 1 - 10
Main Authors:	Alzabut, JO, Nieto, JJ, Stamov, GTr
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01-01-2009
Subjects:	Analysis Approximations and Expansions Difference and Functional Equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Research Article Singular Boundary Value Problems for Ordinary Differential Equations Ordinary Differential Equation Functional Equation Periodic Solution Partial Differential Equation Differential Equation
Online Access:	Get full text
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Description
Summary:	By employing the contraction mapping principle and applying Gronwall-Bellman's inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solution for nonlinear impulsive delay model of hematopoiesis.
ISSN:	1687-2762 1687-2770
DOI:	10.1155/2009/127510