Remarks on the formulation of the Cauchy problem for general system of ordinary differential equations

DOI10.2748/tmj/1178229684zbMath0428.34003OpenAlexW2048188348MaRDI QIDQ1137163

Masatake Miyake

Publication date: 1980

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229684

zbMATH Keywords

initial value problemholomorphic functions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30) Ordinary differential equations in the complex domain (34M99)

Related Items (6)

Simple forms of higher-order linear differential systems and their applications in computing regular solutions ⋮ Matrices of scalar differential operators: divisibility and spaces of solutions ⋮ Revealing matrices of linear differential systems of arbitrary order ⋮ Characterizations of the well posed Cauchy problem for a system in a complex domain ⋮ Invertible linear ordinary differential operators and their generalizations ⋮ On the Differential and Full Algebraic Complexities of Operator Matrices Transformations

Cites Work

• On Cauchy-Kowalevski's theorem for general systems
• Diverses formulations du problème de Cauchy pour un système d'équations aux dérivées partielles
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