The method of unitary transformations in stability theory

The author suggests using unitary transformations of solutions to investigate the stability of solutions for linear and quasilinear differential systems with normal matrices of coefficients (AA^*=A^*A). This approach enables him to obtain differential inequalities for the square of the norm of a solution connected with the spectrum of the matrices of coefficients. Some examples are given to illustrate the method.

Authors
Konyaev Yu.A.
Editors
Mazanik Sergei
Journal
Известия высших учебных заведений. Математика
Publisher
Федеральное государственное автономное образовательное учреждение высшего образования "Казанский (Приволжский) федеральный университет"
Number of issue
no.~2
Language
English, Russian
Status
Published
Date of creation
19.05.2021
Date of change
19.05.2021
Short link
https://repository.rudn.ru/en/records/article/record/73824/
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QUASI-REGULAR ASYMPTOTIC BEHAVIOR OF THE SOLUTION OF A SINGULARLY PERTURBED CAUCHY PROBLEM FOR LINEAR SYSTEMS OF DIFFERENTIAL MATRIX EQUATIONS

Article
Konyaev Yu.A., Rozenblum G.V.
Известия высших учебных заведений. Математика. Федеральное государственное автономное образовательное учреждение высшего образования "Казанский (Приволжский) федеральный университет".