d'Alembert's formula and periodic mild solutions to iterated higher-order differential equations in Hilbert spaces
We give necessary and sufficient conditions for the periodicity of solutions of mild solutions to the iterated higher-order differential equation $$ \prod_{j=1}^{n}(\frac{d}{dt} -A_j)u(t)=f(t), \quad 0 \leq t\leq T, $$ in a Hilbert space. Our results are illustrated with examples and applicati...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/23/i1/abstr.html |