Multisummability of formal power series solutions of linear ordinary differential equations
Multisummability of formal power series solutions of linear ordinary differential equations
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线性常微分方程形式幂级数解的多重可和性
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发表时间：
1991
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通讯作者：
Y. Sibuya
中科院分区：
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作者：
W. Balser;B. Braaksma;J. Ramis;Y. Sibuya
27 Balser，W.，B.L.J. Braaksma，J.- P. Ramis和Y.林志玲，线性常微分方程的幂级数解的多重可和性，第五卷，第27-45页，1991。如果I是一个线性亚纯微分方程的形式幂级数解，则证明了1=11 +... + Iq，其中fj是hr可求和的;这里h 1，.，hq是相关联的牛顿多边形的斜率。研究了线性齐次亚纯微分方程基本解的多和性。
27 Balser, W., B.L.J. Braaksma, J.-P. Ramis and Y. Sibuya, Multisummability of formal power series solutions of linear ordinary differential equations, Asymptotic Analysis 5 (1991) 27-45. If I is a formal power series solution of a linear meromorphic differential equation, then it is shown that 1=11 + ... + Iq, were fj is hrsummable; here h 1, .•• , hq are slopes of the associated Newton polygon. The multisummability properties of fundamental solutions of linear homogeneous meromorphic differential equations are studied.