Qualitative Analysis of Nonregular Differential-Algebraic Equations and the Dynamics of Gas Networks

Автор(и)

  • Maria Filipkovska B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv, 61103, Ukraine
    Friedrich-Alexander-Universität Erlangen-Nürnberg, Cauerstrasse 11, 91058 Erlangen, Germany

DOI:

https://doi.org/10.15407/mag19.04.719

Анотація

Одержано умови існування, єдиності та обмеженості глобальних розв'язків, а також граничної обмеженості розв'язків, та умови руйнування розв'язків нерегулярних напівлінійних диференціально-алгебраїчних рівнянь. Розглянуто приклад, який демонструє застосування одержаних результатів. В якості застосувань наводяться ізотермічні моделі газових мереж.

Mathematical Subject Classification 2020: 34A09, 34A12, 34C11, 34D23,
15A22

Ключові слова:

нерегулярне диференцiально-алгебраїчне рiвняння, вироджене диференціальне рівняння, сингулярний жмуток, глобальна розв'язність, обмеженість розв'язків, руйнування, дисипативність

Посилання

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Filipkovska, M. Qualitative Analysis of Nonregular Differential-Algebraic Equations and the Dynamics of Gas Networks. Журн. мат. фіз. анал. геом. 2023, 19, 719–765.

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