An estimation of decay for solutions of nonlinear systems with equal frequencies

• Date: 2016
• Author Affiliations: В. В. Грушковская — Institute of Applied Mathematics and Mechanics
• Keywords: keywords
• Main Authors: Grushkovskaya, V. V., Грушковская, В. В., Грушковська, В. В.
• Format: Article
• Language: Russian
• Published: Інститут математики НАН України 2016
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/33
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

This paper continues a series of studies on the stability and asymptotic behavior of solutions to systems of nonlinear differential equations whose matrix of linear approximation has purely imaginary eigenvalues and eigenvalues with negative real parts. In this paper, we consider the case of several...