Infinite dimensional differential-algebraic equations: solvability and solution representations / vorgelegt von Mehmet-Emin Erbay. Wuppertal, 14. August 2026
Inhalt
- Contents
- Symbols
- Introduction
- Preliminaries
- Basic notation
- Resolvents and pseudo-resolvents
- Solution theory of DAEs
- Equivalence of DAEs
- Vector-valued Laplace transform and complex analysis
- Index concepts for DAEs
- Weierstraß form
- Nilpotency index
- Resolvent index
- Chain index
- Radiality index
- Weierstraß form generation
- Differentiation index
- Perturbation index
- Notes
- Integrated semigroups
- Existence of solutions for the homogeneous DAE
- Generation and properties
- Solution representation
- Generation of C_0-semigroups on a subspace
- Notes
- Extrapolation spaces
- Operator nodes and system nodes
- Infinite dimensional port-Hamiltonian DAEs
- Index
- List of Figures