A class of non-linear ODEs with movable algebraic singularities

Thomas Kecker

doi:10.1007/BF03321848

A class of non-linear ODEs with movable algebraic singularities

Thomas Kecker

School of Mathematics & Physics

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Abstract

A class of nonlinear second-order rational ODEs is studied for which it is shown that any movable singularity of a solution that can be reached along a finite length curve is an algebraic branch point. Some conditions need to be imposed on the equations including the existence of certain formal algebraic series solutions. An example is discussed demonstrating the degree of restriction for the parameters of the equation.

Original language	English
Pages (from-to)	653-667
Journal	Computational Methods and Function Theory
Volume	12
Issue number	2
DOIs	https://doi.org/10.1007/BF03321848
Publication status	Published - 10 Dec 2012

Keywords

movable singularities
solutions of ODEs

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10.1007/BF03321848

CMFT_august_06_2012Accepted author manuscript (Post-print), 324 KB

http://link.springer.com/10.1007/BF03321848

Cite this

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A class of non-linear ODEs with movable algebraic singularities

Abstract

Keywords

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Cite this