Contributions to Books:

J. Burkotova, I. Rachunkova, E. Weinmüller:
"On singular BVPs with unsmooth data: Analysis of the linear case with variable coefficient matrix";
in: "ASC Report 31/2017", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2017, ISBN: 978-3-902627-10-0, 1 - 28.

English abstract:
n this paper, analytical properties of systems of singular linear ordinary dif-ferential equations with variable coefficient matrices and unsmooth inhomo-geneities are investigated. The aim is to precisely formulate conditions which are necessary and sufficient for the existence and uniqueness of solutions which are at least continuous on the closed interval including the singular point. Smooth-ness properties of such solutions are also discussed.

linear systems of ordinary differential equations, singular boundary value problems, time singularity of the first kind, unsmooth inhomogeneity

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.