Qualitative Analysis of Nonregular Differential-Algebraic Equations and the Dynamics of Gas Networks
Conditions for the existence, uniqueness and boundedness of global solutions, as well as ultimate boundedness of solutions, and conditions for the blow-up of solutions of nonregular semilinear differential-algebraic equations have been obtained. An example demonstrating the application of the obtain...
Saved in:
| Date: | 2023 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2023
|
| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1037 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |
Institution
Journal of Mathematical Physics, Analysis, Geometry| Summary: | Conditions for the existence, uniqueness and boundedness of global solutions, as well as ultimate boundedness of solutions, and conditions for the blow-up of solutions of nonregular semilinear differential-algebraic equations have been obtained. An example demonstrating the application of the obtained results has been considered. Isothermal models of gas networks have been proposed as applications.
Mathematical Subject Classification 2020: 34A09, 34A12, 34C11, 34D23,15A22 |
|---|