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2012 Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems
Qi Wang, Jiechang Wen
J. Appl. Math. 2012: 1-17 (2012). DOI: 10.1155/2012/348384

Abstract

This paper deals with the oscillations of numerical solutions for the nonlinear delay differential equations in physiological control systems. The exponential θ -method is applied to p ( t ) = β 0 ω μ p ( t τ ) / μ + p μ ( t τ ) ) γ p ( t ) and it is shown that the exponential θ -method has the same order of convergence as that of the classical θ -method. Several conditions under which the numerical solutions oscillate are derived. Moreover, it is proven that every nonoscillatory numerical solution tends to positive equilibrium of the continuous system. Finally, the main results are illustrated with numerical examples.

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Qi Wang. Jiechang Wen. "Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems." J. Appl. Math. 2012 1 - 17, 2012. https://doi.org/10.1155/2012/348384

Information

Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1263.92011
MathSciNet: MR3005202
Digital Object Identifier: 10.1155/2012/348384

Rights: Copyright © 2012 Hindawi

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