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Solution of Degnerate Linear Initial Value Problems
Author(s) -
Berg L.
Publication year - 1977
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19770570202
Subject(s) - uniqueness , mathematics , operator (biology) , degenerate energy levels , linear map , set (abstract data type) , inverse , value (mathematics) , inverse problem , mathematical analysis , pure mathematics , computer science , physics , statistics , chemistry , geometry , biochemistry , repressor , quantum mechanics , transcription factor , gene , programming language
There are investigated degenerate linear operator equations with respect to their solubility. Given suitable initial values necessary and sufficient conditions for uniqueness are set up, and the solution is constructed explicitly. The case that the coefficients are matrices is treated in detail. An important tool is the notion of the relative inverse operator. The paper continues results due to M. Tasche , which are essentially connected with the notions of (generalized) ascent and decent.