Relationship between different types of stability for linear almost periodic systems in Banach spaces
For the linear equation $x'= A(t)x$ with recurrent (almost periodic) coefficients in an arbitrary Banach space, we prove that the asymptotic stability of the null solution and of all limit equations implies the uniform stability of the null solution.
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| Format: | Article |
| Language: | English |
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Texas State University
1999-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/1999/46/abstr.html |