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Titlebook: Algebraic Analysis of Differential Equations; from Microlocal Anal Takashi Aoki,Hideyuki Majima,Nobuyuki Tose Book 2008 Springer-Verlag Tok

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期刊全称Algebraic Analysis of Differential Equations
期刊简称from Microlocal Anal
影响因子2023Takashi Aoki,Hideyuki Majima,Nobuyuki Tose
视频videohttp://file.papertrans.cn/153/152544/152544.mp4
图书封面Titlebook: Algebraic Analysis of Differential Equations; from Microlocal Anal Takashi Aoki,Hideyuki Majima,Nobuyuki Tose Book 2008 Springer-Verlag Tok
Pindex Book 2008
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Virtual turning points — A gift of microlocal analysis to the exact WKB analysists importance in the analysis of the Noumi-Yamada system (a particular higher order Painlevé equation) and a concrete recipe for locating them. Examples given here make it manifest that virtual turning points are indispensable in WKB analysis of higher order linear ordinary differential equations wi
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Nonlinear Stokes phenomena in first or second order differential equations 0 (say, . = (−1).). If . = 1 we assume .(0, ·) is meromorphic and nonlinear. If . = 2, we assume .(0, ·) is analytic except for isolated singularities, and also that ∫. |.(.)|..|.| < ∞ along some path avoiding the zeros and singularities of ., where .(.) = ∫..(0, .).. Let .. = {z: |.| > . > 0, arg(
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https://doi.org/10.1007/978-3-319-06242-6the Borel transform of its asymptotic expansion, ., a nonlinear analog of Stokes phenomena. If . = 1 and . is a nonlinear polynomial with .(., 0) ≢ 0 a similar conclusion holds even if .(0, ·) is linear. This follows from the property that if . is superexponentially small along ℝ. and analytic in ..
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