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What is Spectral Theory of Dissipative Systems about?

This paper explores the spectral theory of infinite-dimensional dissipative Hamiltonian systems, focusing on singular operator pencils and their implications for the uniqueness of solutions to operator differential-algebraic equations (DAEs). It introduces three concepts of singularity and demonstrates how these relate to the uniqueness of solutions, revealing that classical finite-dimensional results do not necessarily apply in the infinite-dimensional context. The findings are particularly significant for

Author
traore.arouna
Language
EN