Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866908179031392256 |
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| author | Filipkovska, Maria |
| author_facet | Filipkovska, Maria |
| contents | The conditions for the existence, uniqueness and boundedness of global solutions, as well as ultimate boundedness of solutions, and the conditions for the blow-up of solutions of nonregular semilinear differential-algebraic equations are obtained. An example demonstrating the application of the obtained results is considered. Isothermal models of gas networks are proposed as applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00186 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks Filipkovska, Maria Analysis of PDEs Classical Analysis and ODEs 34A09, 34A12, 34C11, 34D23, 15A22 The conditions for the existence, uniqueness and boundedness of global solutions, as well as ultimate boundedness of solutions, and the conditions for the blow-up of solutions of nonregular semilinear differential-algebraic equations are obtained. An example demonstrating the application of the obtained results is considered. Isothermal models of gas networks are proposed as applications. |
| title | Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks |
| topic | Analysis of PDEs Classical Analysis and ODEs 34A09, 34A12, 34C11, 34D23, 15A22 |
| url | https://arxiv.org/abs/2309.00186 |