On the Weierstraß form of infinite-dimensional differential algebraic equations.

J Evol Equ

Department of Applied Mathematics, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1 Canada.

Published: September 2024

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.

Download full-text PDF

Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11369006PMC
http://dx.doi.org/10.1007/s00028-024-01003-3DOI Listing

Publication Analysis

Top Keywords

differential algebraic
12
algebraic equations
12
weierstraß form
8
infinite-dimensional differential
8
form infinite-dimensional
4
equations solvability
4
solvability infinite-dimensional
4
equations possessing
4
possessing resolvent
4
resolvent weierstraß
4

Similar Publications

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!