Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations

DOI10.1016/j.cam.2016.06.027zbMath1352.65174OpenAlexW2461437725MaRDI QIDQ313589

Wan-Sheng Wang

Publication date: 12 September 2016

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.2016.06.027

zbMATH Keywords

stabilitynumerical exampleRunge-Kutta methodsneutral delay differential equationslong-time behaviouruniform ultimate boundedness

Mathematics Subject Classification ID

Related Items (8)

A new generalization of Halanay-type inequality and its applications ⋮ Numerical Dynamics of Nonstandard Finite Difference Method for Nonlinear Delay Differential Equation ⋮ Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson's blowflies models ⋮ Classical theory of linear multistep methods for Volterra functional differential equations ⋮ Dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations ⋮ On \(A\)-stable one-leg methods for solving nonlinear Volterra functional differential equations ⋮ Long time numerical behaviors of fractional pantograph equations ⋮ Long time \(\mathcal{H}_\alpha^s\) stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity

Uses Software

• RODAS

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