Issue |
ITM Web Conf.
Volume 34, 2020
International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|
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Article Number | 03006 | |
Number of page(s) | 11 | |
Section | Differential Equations, Dynamical Systems, and Geometry | |
DOI | https://doi.org/10.1051/itmconf/20203403006 | |
Published online | 03 December 2020 |
On the Ψ-asymptotic equivalence of the Ψ-bounded solutions of two Lyapunov matrix differential equations
Department of Applied Mathematics University of Craiova 13 A.I. Cuza str., 200585 Craiova, Romania
* e-mail: adiamandescu@yahoo.com
Using Schauder Tychonoff fixed point theorem and the technique of Kronecker product of matrices, we prove existence results for Ψ-asymptotic equivalence of the Ψ-bounded solutions of two Lyapunov matrix differential equations.
Key words: Ψ-boundedness / Ψ-asymptotic equivalence / Lyapunov matrix differential equation
© The Authors, published by EDP Sciences, 2020
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