非线性中立型Volterra延迟积分微分方程线性θ-方法的散逸性  

Dissipativity of Linear θ-methods for Nonlinear Volterra Delay-integro-differential Equations with Neutral Type

作　　者：姚金然[1] 张学华[1] 赵磊[2] 

机构地区：[1]黄山学院数学系,安徽黄山245041 [2]黄山学院信息工程学院,安徽黄山245021

出　　处：《黄山学院学报》2009年第5期1-6,共6页Journal of Huangshan University

基　　金：黄山学院科研基金资助(2008xkjq005)

摘　　要：研究了非线性中立型Volterra延迟积分微分方程及数值方法的散逸性问题。给出了关于此方程理论解散逸性的充分条件,并获得了一类求解此类问题的线性θ-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该方程的散逸性。This paper is concerned with the dissipativity of nonlinear Volterra delay-integro-differential equations with neutral type. A sufficient condition for the dissipativity of theoretical solution of the mentioned problem above is given, and the dissipativity results are obtained for a class of linear θ-methods when they are applied to these problems. The result shows that the numerical methods inherit the dissipativity of the underlying problem.

关 键 词：非线性中立型Volterra延迟积分微分方程 散逸性 线性Θ-方法 

分 类 号：O241.8[理学—计算数学]