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Asymptotic Analysis for Integrable Connections with Irregular Singular Points Book PDF Summary
Using strongly asymptotic expansions of functions of several variables, we prove existence theorems of asymptotic solutions to integrable systems of partial differential equations of the first order with irregular singular points under certain general conditions. We also prove analytic splitting lemmas for completely integrable linear Pfaffian systems. Moreover, for integrable connections with irregular singular points, we formulate and solve the Riemann-Hilbert-Birkhoff problem, and prove analogues of Poincare's lemma and de Rham cohomology theorem under certain general conditions.
Detail Book of Asymptotic Analysis for Integrable Connections with Irregular Singular Points PDF
- Author : H. Majima
- Release : 14 November 2006
- Publisher : Springer
- ISBN : 9783540389316
- Genre : Mathematics
- Total Page : 169 pages
- Language : English
- PDF File Size : 10,7 Mb
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