Stability of one-leg \(\theta \)-methods for nonlinear neutral differential equations with proportional delay
The authors establish interesting stability results on one-leg \(\theta\)-methods for neutral differential equations (NDEs) with constant delay and further for NDEs with proportional delay. To this end, the approach of transformation (TRA) is used, which allows to transform NDEs with proportional delay into NDEs with constant delay. Some sufficient conditions for global stability and asymptotic stability are provided. Two numerical examples of explanation are reported.
nonlinear proportional delay differential equations
scientific article; zbMATH DE number 5573831