Frequency tests for the existence and stability of bounded solutions to differential equations of higher order

DOI10.1134/S106456241806008XzbMath1417.34081OpenAlexW2900075781MaRDI QIDQ1709846

A. I. Perov, I. D. Kostrub

Publication date: 15 January 2019

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

Full work available at URL: https://doi.org/10.1134/s106456241806008x

zbMATH Keywords

stabilityfrequency test

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Cites Work

• On bounded solutions to weakly nonlinear vector-matrix differential equations of order \(n\)
• Estimates of bounded solutions of linear differential equations
• Method of guiding functions for existence problems for periodic solutions of differential equations
• Ein Fixpunktsatz
• Lectures on Fourier Integrals. (AM-42)
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