On an asymptotically autonomous system with Tikhonov type regularizing term

DOI10.1007/s00013-010-0181-6zbMath1217.34085OpenAlexW2073111591MaRDI QIDQ604216

Mohamed Ali Jendoubi, Ramzi May

Publication date: 10 November 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0181-6

zbMATH Keywords

asymptotic behaviorTikhonov regularizationdissipative dynamical system

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (10)

Asymptotic for a second order evolution equation with damping and regularizing terms ⋮ Combining fast inertial dynamics for convex optimization with Tikhonov regularization ⋮ Strong Convergence of Trajectories via Inertial Dynamics Combining Hessian-Driven Damping and Tikhonov Regularization for General Convex Minimizations ⋮ Practical perspectives on symplectic accelerated optimization ⋮ Accelerated gradient methods combining Tikhonov regularization with geometric damping driven by the Hessian ⋮ Fast convergence of inertial gradient dynamics with multiscale aspects ⋮ Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy ⋮ Asymptotics for a second-order differential equation with nonautonomous damping and an integrable source term ⋮ Damped inertial dynamics with vanishing Tikhonov regularization: strong asymptotic convergence towards the minimum norm solution ⋮ On damped second-order gradient systems

Cites Work

• Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
• Asymptotic control and stabilization of nonlinear oscillators with non-isolated equilibria
• A dynamical approach to convex minimization coupling approximation with the steepest descent method
• On a second order dissipative ODE in Hilbert spaces with an integrable source term
• On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
• Asymptotic Control of Pairs of Oscillators Coupled by a Repulsion, with Nonisolated Equilibria I: The Regular Case

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