Qualitative Analysis of Nonregular Differential-Algebraic Equations and the Dynamics of Gas Networks
DOI:
https://doi.org/10.15407/mag19.04.719Ключові слова:
нерегулярне диференцiально-алгебраїчне рiвняння, вироджене диференціальне рівняння, сингулярний жмуток, глобальна розв'язність, обмеженість розв'язків, руйнування, дисипативністьАнотація
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
Посилання
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