On the existence of periodic solutions of ordinary differential equations with high-frequency summands in a Banach space (Q2396425)
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| Language | Label | Description | Also known as |
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| English | On the existence of periodic solutions of ordinary differential equations with high-frequency summands in a Banach space |
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On the existence of periodic solutions of ordinary differential equations with high-frequency summands in a Banach space (English)
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8 June 2017
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The author reports results on the existence of periodic solutions in linear ODEs in Banach space. The equation considered in this work is of the form \[ \frac{du}{dt}+A(\omega,t)u=f(\omega,t), \] and the results are obtained for \(\omega\) sufficiently large.
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ordinary differential equation
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Banach space
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high-frequency coefficient
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rapidly oscillating solution
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