On differential-algebraic equations with bounded spectrum in Banach spaces

DOI10.1007/978-3-031-64991-2_7MaRDI QIDQ6643893

Friedrich Philipp

Publication date: 27 November 2024

zbMATH Keywords

spectrumdifferential-algebraic equationsBanach spacepencilinfinite dimensionalquasi-nilpotent operator

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear differential equations in abstract spaces (34G10)

Cites Work

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• The quasi-Weierstrass form for regular matrix pencils
• Vector-valued Laplace transforms and Cauchy problems
• The eigenvalue problem \(\lambda Tx+Sx\)
• Perturbation theory for linear operators.
• Ascent, descent, nullity and defect, a note on a paper by A.E. Taylor
• Ranges of quasi-nilpotentoperators
• Fourier Series in Banach spaces and Maximal Regularity
• The Quasi-Kronecker Form For Matrix Pencils
• Optimal Control of Port-Hamiltonian Descriptor Systems with Minimal Energy Supply
• Addition to “The Quasi-Kronecker Form for Matrix Pencils
• Spectral theory of linear operators and spectral systems in Banach algebras
• Operator norms of powers of the Volterra operator

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