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On the Weierstraß form of infinite dimensional differential algebraic equations (2402.17560v2)
Published 27 Feb 2024 in math.AP and math.FA
Abstract: The solvability for infinite dimensional differential algebraic equations possessing a resolvent index and a Weierstra{\ss} form is studied. In particular, the concept of integrated semigroups is used to determine a subset on which solutions exist and are unique. This information is later used for a important class of systems, namely, port-Hamiltonian differential algebraic equations.