Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations
DOI10.1016/J.APM.2011.03.019zbMath1225.65125OpenAlexW2030426872MaRDI QIDQ646214
Dongfang Li, Wan-Sheng Wang, Cheng-Jian Zhang
Publication date: 11 November 2011
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2011.03.019
asymptotic stabilityneutral differential equationsdelay-integro-differential equationsKutta methodsRunge
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Stability theory of functional-differential equations (34K20) Stability theory for integral equations (45M10) Neutral functional-differential equations (34K40) Stability theory for difference equations (39A30)
Related Items (7)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear stability of explicit and diagonally implicit Runge-Kutta methods for neutral delay differential equations in Banach space
- Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations
- Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space
- Nonlinear stability of Runge-Kutta methods for neutral delay integro-differential equations
- On the one-leg \(\theta \)-methods for solving nonlinear neutral functional differential equations
- Stability analysis of Runge-Kutta methods for nonlinear neutral delay integro-differential equations
- The extended one-leg methods for nonlinear neutral delay-integro-differential equations
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Stability properties of a scheme for the approximate solution of a delay- integro-differential equation
- On the contractivity and asymptotic stability of systems of delay differential equations of neutral type
- The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations
- Introduction to functional 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.
- Theory and applications of partial 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
- Stability analysis of numerical methods for linear neutral Volterra delay-integro-differential system
- Stability analysis of solutions to nonlinear stiff Volterra functional differential equations in Banach spaces
- High Order Contractive Runge–Kutta Methods for Volterra Functional Differential Equations
- On global stability of parabolic systems with delay
- Non-linear stability of a general class of differential equation methods
- Stability Criteria for Implicit Runge–Kutta Methods
- Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Stability Analysis of $\Theta$-Methods for Nonlinear Neutral Functional Differential Equations
- General Linear Methods for Volterra Integro-differential Equations with Memory
This page was built for publication: Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations