On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity: Doc 183

On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity Doc 183

In this paper we investigate the analytical properties of systems of linear ordinary differential equations (ODEs) with unsmooth nonintegrable inhomogeneities and a time singularity of the first kind. We are especially interested in specifying the structure of general linear two-point boundary condi...

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Bibliographic Details
Published in:Boundary value problems Vol. 2014; p. 1
Main Authors: Burkotová, Jana, Rachnková, Irena, Stank, Svatoslav, Weinmüller, Ewa B
Format: Journal Article
Language:English
Published: New York Hindawi Limited 01-09-2014
Subjects:
Boundary value problems
Online Access:Get full text
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Summary:In this paper we investigate the analytical properties of systems of linear ordinary differential equations (ODEs) with unsmooth nonintegrable inhomogeneities and a time singularity of the first kind. We are especially interested in specifying the structure of general linear two-point boundary conditions guaranteeing existence and uniqueness of solutions which are continuous on a closed interval including the singular point. Moreover, we study the convergence behavior of collocation schemes applied to solving the problem numerically. Our theoretical results are supported by numerical experiments.[PUBLICATION ABSTRACT]
ISSN:1687-2762
1687-2770
DOI:10.1186/s13661-014-0183-6