Author:
Burkotová Jana,Rachůnková Irena,Staněk Svatoslav,Weinmüller Ewa B
Abstract
Abstract
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.
MSC: 34A12, 34A30, 34B05.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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