Estimates for Solutions of Differential Equations in a Banach Space via Commutators
In a Banach space we consider the equation dx(t)/dt = (A + B(t))×(t) (t ≥ 0), where A is a constant bounded operator, and B(t) is a bounded variable operator.Norm estimates for the solutions of the considered equation are derived in terms of the commutator AB(t) − B(t)A. These estimates give us shar...
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| Format: | Article |
| Language: | English |
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De Gruyter
2018-02-01
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| Series: | Nonautonomous Dynamical Systems |
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| Online Access: | https://doi.org/10.1515/msds-2018-0001 |