Volterra泛函微分方程单支θ-方法的散逸性  

Dissipativity of one-lag methods for volterra functional differential equations

作　　者：刘学泳[1] 文立平[1] 

机构地区：[1]湘潭大学数学与计算科学学院

出　　处：《湖南农业大学学报（自然科学版）》2007年第4期489-491,共3页Journal of Hunan Agricultural University(Natural Sciences)

基　　金：国家自然科学基金项目(10571147);湖南省教育厅项目(05C194)

摘　　要：研究了一类Volterra泛函微分方程本身及数值方法的散逸性问题.给出了1个关于此类问题本身散逸性的充分条件,得到了求解此类问题的单支方法的数值散逸性结果.此结果表明所考虑的数值方法继承了方程本身的散逸性.Research on volterra functional differential equations itselves and its numerical dissipativity was done. After a sufficient condition for dissipativity of a class of such equations was presented. Dissipativity of One-lag method for Volterra functional differential was obtained. This result shows that the numerical method has inherited the dissipativity of Volterra functional differential equations.

关 键 词：VOLTERRA泛函微分方程 数值方法 单支Θ-方法 散逸性 

分 类 号：O124[理学—数学]