Lyapunov exponents for linear delay equations in arbitrary phase spaces
AbstractA linear differential equation with infinite delay is considered in the generalized form as an integral equation. As usually, the function space ß of the admissible initial conditions is only described axiomatically. Merely using this abstract description the long time behavior of the solutions is determined by calculating the Lyapunov exponents. The calculation is based on a representation of the solution in the second dual space of ß. The representation requires a modified version of the usual weak* -integral. --
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Bibliographic InfoPaper provided by Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes in its series SFB 373 Discussion Papers with number 2002,60.
Date of creation: 2002
Date of revision:
Lyapunov exponents; differential equations with infinite delay; weak* -integral; abstract phase space; variation of constants formula; stochastic delay differential equations;
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