Отправить статью по E-mail Representation of Solutions of Systems of Linear Differential Equations with Multiple Delays and Linear Parts Given by Nonpermutable Matrices
- Авторы: Medved’ M.1,2, Pospíšil M.1,2
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Учреждения:
- Department of Mathematics, Analysis, and Numerical Mathematics, Faculty of Mathematics, Physics, and Informatics, Comenius University in Bratislava
- Mathematical Institute, Slovak Academy of Sciences
- Выпуск: Том 228, № 3 (2018)
- Страницы: 276-289
- Раздел: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240231
- DOI: https://doi.org/10.1007/s10958-017-3620-0
- ID: 240231
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Аннотация
In recent results on representation of the solutions of systems of delayed differential equations, the condition that the linear parts are given by pairwise permutable matrices was assumed. We show how this strong condition can be avoided and derive a representation of solutions of systems of differential equations with nonconstant coefficients and variable delays. The results are applied to a system with two constant delays. In addition, the nonexistence of blow-up solutions is proved for nonlinear systems.
Об авторах
M. Medved’
Department of Mathematics, Analysis, and Numerical Mathematics, Faculty of Mathematics, Physics, and Informatics, Comenius University in Bratislava; Mathematical Institute, Slovak Academy of Sciences
Автор, ответственный за переписку.
Email: Milan.Medved@fmph.uniba.sk
Словакия, Mlynská Dolina, Bratislava, 842 48; Štefánikova 49, Bratislava, 814 73
M. Pospíšil
Department of Mathematics, Analysis, and Numerical Mathematics, Faculty of Mathematics, Physics, and Informatics, Comenius University in Bratislava; Mathematical Institute, Slovak Academy of Sciences
Email: Milan.Medved@fmph.uniba.sk
Словакия, Mlynská dolina, Bratislava, 842 48; Štefánikova 49, Bratislava, 814 73
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