On singular BVPs with nonsmooth data: Analysis of the linear case with variable coefficient matrix

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• 作者：Jana Burkotová ; ^a ; ^{jana.burkotova@upol.cz} ; Irena Rachůnková ; ^a ; ^{irena.rachunkova@upol.cz} ; Ewa B. Weinmü ; ller^b ; ^{ewa.weinmueller@tuwien.ac.at}
• 关键词：Linear systems of ordinary differential equations ; Singular boundary value problems ; Time singularity of the first kind ; Nonsmooth inhomogeneity
• 刊名：Applied Numerical Mathematics
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：114
• 期：Complete
• 页码：77-96
• 全文大小：459 K
• 卷排序：114

文摘

In this paper, analytical properties of systems of singular linear ordinary differential equations with variable coefficient matrices and nonsmooth inhomogeneities 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. Smoothness properties of such solutions are also discussed.