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Sensitivity of dynamical systems to Banach space parameters. (English) Zbl 1103.93025

Summary: We consider general nonlinear dynamical systems in a Banach space with dependence on parameters in a second Banach space. An abstract theoretical framework for sensitivity equations is developed. An application to measure dependent delay differential systems arising in a class of HIV models is presented.

MSC:

93B35 Sensitivity (robustness)
93E03 Stochastic systems in control theory (general)
93C15 Control/observation systems governed by ordinary differential equations
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References:

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