Filipkovska M (2024)
Publication Language: English
Publication Status: In review
Publication Type: Journal article, Original article
Future Publication Type: Journal article
Publication year: 2024
DOI: 10.1007/s10958-024-07152-7
Open Access Link: https://doi.org/10.1007/s10958-024-07152-7
For regular and nonregular (singular) semilinear differential-algebraic equations (DAEs), we prove theorems on the existence and uniqueness of global solutions and on the blow-up of solutions, which allow one to identify the sets of initial values for which the initial value problem has global solutions and/or for which solutions are blow-up in finite time, as well as the regions that the solutions cannot leave. Together these theorems provide a criterion of the global solvability of semilinear DAEs. As a consequence, we obtain conditions for the global boundedness of solutions.
APA:
Filipkovska, M. (2024). Criterion of the global solvability of regular and singular differential-algebraic equations. Journal of Mathematical Sciences. https://doi.org/10.1007/s10958-024-07152-7
MLA:
Filipkovska, Maria. "Criterion of the global solvability of regular and singular differential-algebraic equations." Journal of Mathematical Sciences (2024).
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