Titlebook: Divergent Series, Summability and Resurgence III; Resurgent Methods an Eric Delabaere Book 2016 The Editor(s) (if applicable) and The Autho

只看該作者 · 發(fā)表于 2025-3-27 01:12:13

,Truncated Solutions For The First Painlevé Equation,inor of the formal series solution we started with (Sect. 6.1). We then make a focus on the transseries solution and we show their Borel-Laplace summability (Sect. 6.2). This provides the truncated solutions by Borel-Laplace summation (Sect. 6.4).

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https://doi.org/10.1007/978-3-642-55794-1ntinuations of convolution products and, as a byproduct, of getting qualitative estimates on any compact set. This is what we will partly do in Sect. 4.3 and Sect. 4.4, using only elementary geometrical arguments. We end with some supplements in Sect. 4.6.

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,Tritruncated Solutions For The First Painlevé Equation,he “‘main asymptotic existence theorem”. We then study the Borel-Laplace summability property of the formal solution by various methods (Sect. 3.3). One deduces the existence of the tritruncated solutions for the first Painlevé equation, by Borel-Laplace summation (Sect. 3.4).

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