Asymptotic stability of solution to nonlinear neutral and Volterra functional differential equations in Banach spaces

DOI10.1016/j.amc.2014.03.111zbMath1334.34164OpenAlexW1974728507MaRDI QIDQ274973

Yuan Zhang, Qin Fan, Shou-fu Li, Wan-Sheng Wang

Publication date: 25 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.111

zbMATH Keywords

Banach spacesasymptotic stabilityneutral functional differential equationsdelay integro-differential equations of ``Hale's formVolterra functional differential equationsVolterra partial functional differential equations

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20)

Related Items (10)

Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations ⋮ Delay dynamic double integral inequalities on time scales with applications ⋮ An efficient IMEX method for nonlinear functional differential equations with state-dependent delay ⋮ Delay-dependent input-output stability conditions for non-autonomous neutral type differential equations in a Banach space ⋮ EXPONENTIAL DECAY FOR A NEUTRAL WAVE EQUATION ⋮ Optimal convergence orders of fully geometric mesh one-leg methods for neutral differential equations with vanishing variable delay ⋮ The continuous Galerkin finite element methods for linear neutral delay differential equations ⋮ Exponential stabilization of a neutrally delayed viscoelastic Timoshenko beam ⋮ Stability analysis of implicit-explicit \(\theta\)-methods for composite stiff neutral functional differential equations in Banach space ⋮ Optimal stability for a viscoelastic neutral differential problem

Cites Work

• Unnamed Item
• Contractivity and exponential stability of solutions to nonlinear neutral functional differential equations in Banach spaces
• Nonlinear stability of general linear methods for delay differential equations
• On nonlinear difference and differential equations
• \(B\)-theory of Runge-Kutta methods for stiff Volterra functional differential equations
• Stability of explicit and diagonal implicit Runge-Kutta methods for nonlinear Volterra functional differential equations in Banach spaces
• Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space
• On the one-leg \(\theta \)-methods for solving nonlinear neutral functional differential equations
• Nonlinear stability of general linear methods for neutral delay differential equations
• Stability of numerical methods for delay differential equations
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Stability of backward Euler multirate methods and convergence of waveform relaxation
• Contractivity of Runge-Kutta methods with respect to forcing terms
• On the contractivity and asymptotic stability of systems of delay differential equations of neutral type
• Stability analysis of Runge-Kutta methods for nonlinear delay differential equations
• Introduction to functional differential equations
• Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations
• Stability of solutions of delay functional integro-differential equations and their discretizations
• Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization.
• \(B\)-theory of general linear methods for Volterra functional differential equations
• Theory and applications of partial functional differential equations
• Numerical stability of nonlinear delay differential equations of neutral type
• A generalized Halanay inequality for stability of nonlinear neutral functional differential equations
• Nonlinear stability of one-leg methods for delay differential equations of neutral type
• Nonlinear stability of Runge-Kutta methods for neutral delay differential equations
• Nonlinear stability and asymptotic stability of implicit Euler method for stiff Volterra functional differential equations in Banach spaces
• Nonlinear stability of \(\theta \)-methods for neutral differential equations in Banach space
• The test problem class of Volterra functional differential equations in Banach space
• G-stability is equivalent toA-stability
• High Order Contractive Runge–Kutta Methods for Volterra Functional Differential Equations
• Contractivity of Waveform Relaxation Runge–Kutta Iterations and Related Limit Methods for Dissipative Systems in the Maximum Norm
• Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations
• General Linear Methods for Volterra Integro-differential Equations with Memory

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