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Differential Equations with Random Delay

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Part of the book series: Fields Institute Communications ((FIC,volume 64))

Abstract

The Multiplicative Ergodic Theorem by Oseledets on Lyapunov spectrum and Oseledets subspaces is extended to linear random differential equations with random delay, using a recent result by Lian and Lu. Random differential equations with bounded delay are discussed as an example.

Mathematics Subject Classification 2010(2010): Primary 37H15; Secondary 34F05

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References

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Acknowledgements

The authors were supported in part by DFG Emmy Noether Grant Si801/1-3.

Received 4/16/2009; Accepted 2/14/2010

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Correspondence to T. S. Doan .

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Siegmund, S., Doan, T.S. (2013). Differential Equations with Random Delay. In: Mallet-Paret, J., Wu, J., Yi, Y., Zhu, H. (eds) Infinite Dimensional Dynamical Systems. Fields Institute Communications, vol 64. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4523-4_11

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