Contractivity and exponential stability of solutions to nonlinear neutral functional differential equations in Banach spaces
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Publication:511174
DOI10.1007/s10255-012-0146-6zbMath1359.34084OpenAlexW2026779336MaRDI QIDQ511174
Run-sheng Yang, Shou-fu Li, Wan-Sheng Wang
Publication date: 14 February 2017
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-012-0146-6
Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40)
Related Items (7)
Asymptotic stability of solution to nonlinear neutral and Volterra functional differential equations in Banach spaces ⋮ Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations ⋮ An efficient IMEX method for nonlinear functional differential equations with state-dependent delay ⋮ 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 ⋮ 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
Cites Work
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- Nonlinear stability of general linear methods for delay differential equations
- \(B\)-theory of Runge-Kutta methods for stiff Volterra functional differential equations
- 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
- Contractivity of Runge-Kutta methods
- 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
- Theory of functional differential equations. 2nd ed
- 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
- 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
- Numerical stability of nonlinear delay differential equations of neutral type
- Dissipativity and exponentially asymptotic stability of the solutions for 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 of \(\theta \)-methods for neutral differential equations in Banach space
- The test problem class of Volterra functional differential equations in Banach space
- 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
- Waveform Relaxation for Functional-Differential Equations
- Numerical Methods for Delay Differential Equations
- 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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