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For linear nonautonomous strongly order-preserving dynamical systems the principal spectrum plays a role in establishing stability and/or persistence similar to that played by the principal eigenvalue in their autonomous counterparts. Unfortunately, even in the time-periodic case generally there is no relation between the principal spectrum and the principal eigenvalues of the linear operators generating the system.
The purpose of this talk is to give a survey of known partial results, as well as present open problems and possible directions of future research. |
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