Abstract
We study a system of singularly perturbed delay differential equations and derive an equation for a slow manifold. To this equation, there exists a formal series solution which is Gevrey-1. By a Borel summation procedure, quasi-solutions are obtained from the formal solution, which determine the slow manifolds up to an exponentially small error.
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Kenens, K., De Maesschalck, P. (2019). Gevrey Asymptotics of Slow Manifolds in Singularly Perturbed Delay Equations. In: Korobeinikov, A., Caubergh, M., Lázaro, T., Sardanyés, J. (eds) Extended Abstracts Spring 2018. Trends in Mathematics(), vol 11. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-25261-8_28
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DOI: https://doi.org/10.1007/978-3-030-25261-8_28
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