On the Almost Periodic Solutions of Differential Equations on Hilbert Spaces
For the differential equation 𝑢(𝑡)=𝐴𝑢(𝑡)+𝑓(𝑡), 𝑡≥0 on a Hilbert space 𝐻, we find the necessary and sufficient conditions that the above-mentioned equation has a unique almost periodic solution. Some applications are also given.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2009-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2009/575939 |