Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems

المؤلفون المشاركون

Wang, Qi
Wen, Jiechang

المصدر

Journal of Applied Mathematics

العدد

المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-17، 17ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2012-12-25

دولة النشر

مصر

عدد الصفحات

17

التخصصات الرئيسية

الرياضيات

الملخص EN

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)=β0ωμp(t−τ)/(ωμ+pμ(t−τ))−γp(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.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Wang, Qi& Wen, Jiechang. 2012. Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993170

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Wang, Qi& Wen, Jiechang. Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-993170

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Wang, Qi& Wen, Jiechang. Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993170

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-993170