On the analytic solution of the Cauchy problem

DOI10.1090/S0002-9939-08-09493-8zbMath1168.34004MaRDI QIDQ3605013

Xiang-Dong Hou

Publication date: 25 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

combinatoricsCauchy problempartial orderODEMagnus expansionBruno's formula

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Cites Work

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• Combinatorics of partial derivatives
• Lectures in Abstract Algebra I
• On the solution of linear differential equations in Lie groups
• The Curious History of Faa di Bruno's Formula
• A Multivariate Faa di Bruno Formula with Applications
• Formal Power Series
• Prehistory of Faà   di Bruno's Formula
• On the exponential solution of differential equations for a linear operator

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