Exponential stability for solutions of continuous and discrete abstract Cauchy problems in Banach spaces
Let T be a strongly continuous semigroup acting on a complex Banach space X and let A be its infinitesimal generator. It is well-known [29,33] that the uniform spectral bound $s_0(A)$ of the semigroup T is negative provided that all solutions to the Cauchy problems $$ \dot u(t)=Au(t)+e^{i\mu t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2019-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/78/abstr.html |