Exponential dichotomy of nonautonomous periodic systems in terms of the boundedness of certain periodic Cauchy problems
We prove that a family of $q$-periodic continuous matrix valued function ${A(t)}_{tin mathbb{R}}$ has an exponential dichotomy with a projector $P$ if and only if $int_0^t e^{imu s}U(t,s)Pds$ is bounded uniformly with respect to the parameter $mu$ and the solution of the Cauchy operator Problem...
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| Format: | Article |
| Language: | English |
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Texas State University
2013-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/89/abstr.html |