The solvability for infinite-dimensional differential algebraic equations possessing a resolvent index and a Weierstraß 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.
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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11369006 | PMC |
http://dx.doi.org/10.1007/s00028-024-01003-3 | DOI Listing |
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