On differential equations in Banach algebras

DOI10.20310/2686-9667-2020-25-132-410-421zbMath1480.81052OpenAlexW3121201448MaRDI QIDQ5012440

A. I. Perov, I. D. Kostrub

Publication date: 24 November 2021

Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtamu208

zbMATH Keywords

Banach algebrashigher-order differential equationsSylvester's theoremCauchy functionHilbert identitybounded Green function and integral constantsnon-commutative Viet formulanon-resonant condition and frequency constants

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Linear operators on Banach algebras (47B48)

Related Items (1)

Differential calculuses on group algebras

Cites Work

• On bounded solutions to weakly nonlinear vector-matrix differential equations of order \(n\)
• Lectures on Fourier Integrals. (AM-42)
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