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Absolute Stability and Conditional Stability in General Delayed Differential Equations

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Advances in Interdisciplinary Mathematical Research

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 37))

Abstract

Some recent results for analyzing the stability of equilibrium of delay differential equations are reviewed. Systems of one or two equations in general form are considered, and the criterions for absolute stability or conditional stability are given explicitly. The results show how the stability depends on both the instantaneous feedback and the delayed feedback.

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Acknowledgements

Partially supported by NSF grant DMS-1022648 and Shanxi 100-talent program.

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Authors and Affiliations

  1. Department of Mathematics, College of William and Mary, Williamsburg, Virginia, 23187–8795, USA

    Junping Shi

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  1. Junping Shi
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Correspondence to Junping Shi .

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Editors and Affiliations

  1. , Dept of Mathematics & Computer Sciences, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Bourama Toni

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Shi, J. (2013). Absolute Stability and Conditional Stability in General Delayed Differential Equations. In: Toni, B. (eds) Advances in Interdisciplinary Mathematical Research. Springer Proceedings in Mathematics & Statistics, vol 37. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6345-0_5

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