Differential equations in Banach algebras

DOI10.1134/S1064562420020179zbMath1491.34025OpenAlexW3043001598MaRDI QIDQ2243725

I. D. Kostrub, A. I. Perov

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562420020179

zbMATH Keywords

Banach algebraVandermonde matrixhigher order ordinary differential equationsalgebraic characteristic equationCauchy-type contour integralSylvester's and Vieta's theorems

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (3)

Spectral test for the exponential stability ⋮ Differential calculuses on group algebras ⋮ Spectral test for exponential stability

Cites Work

• On bounded solutions to weakly nonlinear vector-matrix differential equations of order \(n\)
• On estimation of certain determinants and the application of these estimations to the distribution of eigenvalues
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