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Numerical oscillation of neutral logistic delay differential equation

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  • Wang, Qi

Abstract

This paper mainly deals with the oscillation of numerical solution for the neutral logistic delay differential equation. Applying the θ-methods to the simplified type of the original equation which is got through an invariant oscillation transformation. It is proven that every non-oscillatory numerical solution tends to the steady state of the model. Moreover, some conditions under which the numerical solution oscillates are obtained. Finally, to demonstrate our theoretical results, some numerical examples are adopted.

Suggested Citation

  • Wang, Qi, 2015. "Numerical oscillation of neutral logistic delay differential equation," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 49-59.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:49-59
    DOI: 10.1016/j.amc.2015.01.113
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    References listed on IDEAS

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    1. Vijayakumar, V. & Selvakumar, A. & Murugesu, R., 2014. "Controllability for a class of fractional neutral integro-differential equations with unbounded delay," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 303-312.
    2. Bellen, Alfredo & Zennaro, Marino, 2003. "Numerical Methods for Delay Differential Equations," OUP Catalogue, Oxford University Press, number 9780198506546.
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