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On some generalizations of Jordan sets of linear operator-functions depending on two small parameters

TitleOn some generalizations of Jordan sets of linear operator-functions depending on two small parameters
AuthorsP. A. Shamanaev1
1National Research Mordovia State University
AnnotationThe article describes the method of construction of generalized Jordan grids and sets of linear operator-functions depending on two small parameters. It is shown that when the operator-function depends on one small parameter, the proposed definition of a Jordan grid coincides with the definition of a generalized Jordan chain. The notion of a complete Jordan set is introduced and its properties are investigated.
Keywordslinear operator-function, Jordan grid, completeness of the Jordan set
CitationShamanaev P. A. ''On some generalizations of Jordan sets of linear operator-functions depending on two small parameters '' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 511-516. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper69.pdf. - Date of access: 24.06.2019.