On \(\psi\) bounded solutions for a nonlinear Lyapunov matrix differential equation on \(\mathbb{R} \)

DOI10.2478/awutm-2018-0020OpenAlexW3033564944WikidataQ115227961 ScholiaQ115227961MaRDI QIDQ2678658

Aurel Diamandescu

Publication date: 24 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/awutm-2018-0020

zbMATH Keywords

\( \psi \)-boundedness on \(\mathbb{R} \)nonlinear Lyapunov matrix differential equation on \(\mathbb{R} \)

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Applications of operator theory to differential and integral equations (47N20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

The \(\Psi \)-asymptotic equivalence of the Lyapunov matrix differential equations with integral term as right side and modified argument

Cites Work

• On \(\Psi\)-boundedness and \(\Psi\)-stability of matrix Lyapunov systems
• On asymptotic equivalence of the bounded solutions of two systems of differential equations
• Existence of ψ bounded solutions for nonhomogeneous Lyapunov matrix differential equations on R
• On ψ-bounded solutions for non-homogeneous matrix lyapunov systems on r
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