Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space.

Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space.
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DOI:
10.3934/mbe.2007.4.403
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发表时间:
2007-05
期刊:
Mathematical biosciences and engineering : MBE
影响因子:
--
通讯作者:
H. Banks;S. Dediu;H. K. Nguyen
H. Banks;S. Dediu;H. K. Nguyen
中科院分区:
其他
文献类型:
--
作者:
H. Banks;S. Dediu;H. K. Nguyen

文献摘要

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We develop a theory for sensitivity with respect to parameters in a convex subset of a topological vector space of dynamical systems in a Banach space. Specific motivating examples for probability measure dependent differential, partial differential and delay differential equations are given. Schemes that approximate the measures in the Prohorov sense are illustrated with numerical simulations for distributed delay differential equations.