Asymptotical stability of the exact solutions and the numerical solutions for impulsive neutral differential equations

DOI10.1007/s40314-023-02518-0MaRDI QIDQ6144316

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Publication date: 5 January 2024

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

zbMATH Keywords

stabilityRunge-Kutta methodasymptotical stabilityimpulsive neutral delay differential equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical methods for functional-differential equations (65L03)

Cites Work

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• Asymptotical stability of the exact solutions and the numerical solutions for a class of impulsive differential equations
• Oscillation criteria for even-order neutral differential equations
• Stability of continuous Runge-Kutta-type methods for nonlinear neutral delay-differential equations
• The existence of solutions for impulsive neutral functional differential equations
• Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions
• Stability analysis of one-step methods for neutral delay-differential equations
• Razumikhin method for impulsive functional differential equations of neutral type
• On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations
• Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations
• Numerical Solution of Implicit Neutral Functional Differential Equations
• Convergence Analysis of the Solution of Retarded and Neutral Delay Differential Equations by Continuous Numerical Methods
• Stability Analysis of $\Theta$-Methods for Nonlinear Neutral Functional Differential Equations
• Oscillation of second‐order neutral differential equations
• Mean square exponential input-to-state stability of stochastic Markovian reaction-diffusion systems with impulsive perturbations

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