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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33150748" target="_blank" >RIV/61989592:15310/14:33150748 - isvavai.cz</a>
Result on the web
<a href="http://www.boundaryvalueproblems.com/content/2014/1/183" target="_blank" >http://www.boundaryvalueproblems.com/content/2014/1/183</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/s13661-014-0183-6" target="_blank" >10.1186/s13661-014-0183-6</a>

Result language
angličtina
Original language name
On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity
Original language description
In this paper we investigate the analytical properties of systems of linear ordinary differential equations with unsmooth nonintegrable inhomogeneities and a time singularity of the first kind. We are especially interested in specifying the structure ofgeneral 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 solvingthe problem numerically. Our theoretical results are supported by numerical experiments.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA14-06958S" target="_blank" >GA14-06958S: Singularities and impulses in boundary value problems for nonlinear ordinary differential equations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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