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

作　　者：余越昕[1] 文立平[1] 李寿佛[1] 

机构地区：[1]湘潭大学数学系,湖南湘潭411105

出　　处：《系统仿真学报》2005年第3期604-605,608,共3页Journal of System Simulation

基　　金：国家自然科学基金资助项目(10271100); 湖南省自科基金(03JJY3004);湖南省教育厅资助科研项目。

摘　　要：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.

关 键 词：非线性比例延迟微分方程 线性Θ-方法 变步长 渐近稳定性 

分 类 号：O241.8[理学—计算数学]