隐式Euler法关于一类无穷延迟系统的非线性稳定性

Implicit Euler Method on the Numerical Stability of Nonlinear Infinite delay Systems

讨论了形如y′(t) =f(t,y(t) ,y(pt) ) ,P∈ (0 ,1) ,t≥ 0的无穷延迟系统的非线性数值稳定性 。

This paper discussed numerical stability of nonlinear infinite delay systems of the form y′(t)=f(t,y(t),y(pt)),p∈(0,1) The global and asymptotic stability criteria of implicit Euler method are obtained.