Asymptotic and numerical stability of systems of neutral differential equations with many delays

DOI10.1016/j.cam.2008.02.008zbMath1161.65064OpenAlexW2058431485MaRDI QIDQ2378240

Jiaoxun Kuang, Taketomo Mitsui, Hong-Jiong Tian

Publication date: 7 January 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.02.008

zbMATH Keywords

asymptotic stabilitynumerical stabilityneutral differential equationsnumerical experimentbackward differentiation formulalinear multistep methodsystem of linear equationstwo-step Adams-Bashforth methodmultiple constant delays

Mathematics Subject Classification ID

Related Items (9)

Numerical radius for the asymptotic stability of delay differential equations ⋮ Asymptotic stability of Caputo type fractional neutral dynamical systems with multiple discrete delays ⋮ A Posteriori Error Analysis for Crank--Nicolson--Galerkin Type Methods for Reaction-Diffusion Equations with Delay ⋮ Stability analysis of block boundary value methods for the neutral differential equation with many delays ⋮ Asymptotic stability of neutral differential systems with many delays ⋮ Delay-dependent stability of Runge-Kutta methods for linear delay differential-algebraic equations ⋮ Numerical stability of one-leg methods for neutral delay differential equations ⋮ Stability of linear impulsive neutral delay differential equations with constant coefficients ⋮ Asymptotic stability of general linear methods for systems of linear neutral delay differential-algebraic equations

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