Title | On some generalizations of Jordan sets of linear operator-functions depending on two small parameters |
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Authors | P. A. Shamanaev^{1}^{1}National Research Mordovia State University |

Annotation | The 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. |

Keywords | linear operator-function, Jordan grid, completeness of the Jordan set |

Citation | Shamanaev 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. |

**© SVMO, National Research Mordovia State University, 2019**

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