非线性比例延迟微分方程线性θ-方法的渐近稳定性

Asymptotic Stability of Linear θ-methods for Nonlinear Pantograph Equations

线性比例延迟微分方程数值方法的稳定性研究已有众多结果,而非线性情形的研究结果较少。应用变步长的线性θ -方法于非线性比例延迟微分方程,获得了其渐近稳定的条件。

Linear stability properties of numerical methods for pantograph equations have been studied by several authors, and many significant results have been obtained. However, little attention has been paid to the nonlinear case. Linear θ-methods with variable stepsize are applied to nonlinear pantograph equations and the conditions for the presented methods to be asymptotic stability are obtained.