Global Existence and Uniqueness of Solutions to PDAEs with Applications
Abstract
This work presents new results on the existence and uniqueness of global solutions for linear partial differential-algebraic equations. The analysis is based on the theory of strongly continuous semigroups, which has proved to be an effective framework for studying such systems. To demonstrate the applicability of the theoretical results, the method is applied to a linear system. In this setting, the existence of a global solution is established.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Stability and Controllability of Differential Equations
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Siberian Mathematical Journal
- Volume
- 67
- Issue
- 1
- Pages
- 142–149
- Publication date
- 1 January 2026
- Language
- EN