Invariance of time varying order intervals for linear systems and delay equations


In this paper, we give a characterization of the invariance of time varying order intervals on a Banach lattice with respect to linear systems and linear delay equations. By using the notion of modulus semigroup, the criteria is expressed in terms of a differential inequality.

DOI Code: 10.1285/i15900932v28n2p163

Keywords: invariant sets; Banach lattice; modulus semigroup; delay equations

Classification: 47D06; 34K06; 47B60

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