Convergence to equilibrium for solutions of some forced discretized second-order gradient-like systems

DOI10.3934/mcrf.2023025zbMATH Open1543.65113MaRDI QIDQ6588544

Haythem Cheikh

Publication date: 16 August 2024

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

zbMATH Keywords

discretizationstabilityconvergence ratesangle conditionLojasiewicz's inequalitysingle limit-point convergence

Mathematics Subject Classification ID

Numerical investigation of stability of solutions to ordinary differential equations (65L07) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Dynamical systems in numerical analysis (37N30) Ordinary lattice differential equations (34A33)

Cites Work

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• APPLICATIONS OF THE ŁOJASIEWICZ–SIMON, GRADIENT INEQUALITY TO GRADIENT-LIKE EVOLUTION EQUATIONS
• Non-stabilizing solutions of semilinear hyperbolic and elliptic equations with damping
• Explicit bounds for the Łojasiewicz exponent in the gradient inequality for polynomials
• Convergence of the Iterates of Descent Methods for Analytic Cost Functions

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