ITM Web Conf.
Volume 34, 2020International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|Number of page(s)
|Differential Equations, Dynamical Systems, and Geometry
|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
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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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