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Journal of the Mathematical Society of Japan

ŌUCHI : A functional equation with Borel summable solutions and irregular singular solutions

Borel summability of divergent solutions for singular first order linear partial differential equations with polynomial coefficients , J. Tokyo , Tome 10 , pp.


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Borel summability of divergence solutions for singular first-order partial differential equations with variable coefficients. Borel summability of divergent solutions for singular first-order partial differential equations with variable coefficients.

Universitext Series

An introduction to complex analysis in several variables , North-Holland Publishing Co. On the summability of the formal solutions for some PDEs with irregular singularity , C.

I, , pp. On the Borel summability of divergent power series respective to two variables Preprint, On the Borel summability of divergent solutions of the heat equation , Nagoya Math.

Formal power series, systems of meromorphic ODEs

Multisummability of formal solutions of some linear partial differential equations , J. Borel summability of formal solutions of some first order singular partial differential equations and normal forms of vector fields , J. Japan , Tome 57 , pp. Multisummability of formal power series solutions of nonlinear partial differential equations in complex domains , Asymptot.

On a forward-backward parabolic equation , Ann.

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Werner Balser. Publisher: Springer , This specific ISBN edition is currently not available. View all copies of this ISBN edition:. Synopsis Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. Buy New Learn more about this copy.

Differential equations, studying the unsolvable - DE1

Other Popular Editions of the Same Title. Search for all books with this author and title. Customers who bought this item also bought. Stock Image. Published by Springer New Paperback Quantity Available: 1. Revaluation Books Exeter, United Kingdom. Highest-Level Formal Solutions.

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Asymptotic Power Series. Integral Operators. Summable Power Series. Cauchy-Heine Transform. Solutions of Highest Level.


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Multisummable Power Series.