Cauchy-Kowalevski and polynomial ordinary differential equations

The Cauchy-Kowalevski Theorem is the foremost result guaranteeing existence and uniqueness of local solutions for analytic quasilinear partial differential equations with Cauchy initial data. The techniques of Cauchy-Kowalevski may also be applied to initial-value ordinary differential equations...

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Bibliographic Details
Main Authors: Roger J. Thelwell, Paul G. Warne, Debra A. Warne
Format: Article
Language:English
Published: Texas State University 2012-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/11/abstr.html