一类特殊比例方程的稳定性分析  

Stability Analysis for Special Kind of Pantograph Equation

作　　者：赵景军[1] 徐阳[1] 曹婉容[1] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001

出　　处：《系统仿真学报》2005年第11期2598-2599,2615,共3页Journal of System Simulation

基　　金：中国国家自然科学基金(10271036)

摘　　要：研究一类特殊比例方程的稳定性。通过系统变换给出了方程解析解渐近稳定的充分条件。进一步,引用一类变步长格式,证明了L-稳定的变步长Runge-Kutta方法将保持此类特殊比例方程的稳定性质。The stability of a special kind of pantograph equation was studied. A sufficient condition of the asymptotic stability for the system was proposed through transformation. Furthermore, the variable stepsize was quoted. It is proved that the L -stable Runge-Kutta methods with variable stepsize preserve the stability of the equation.

关 键 词：比例微分方程 微分代数方程 稳定性 数值方法 

分 类 号：O241.8[理学—计算数学]