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一类非线性中立型变延迟积分微分方程的稳定性分析
丛玉豪,卢翠翠,蒋成香
上海师范大学

摘要:

讨论了一类非线性中立型变延迟积分微分方程的稳定性.针对非线性中立型变延迟积分微分方程的模型方程,给出方程理论解稳定的条件并给予了证明; 其次研究了线性θ-方法求解方程的数值稳定性,证明了A-稳定的θ-方法求解非线性中立型变延迟积分微分方程是稳定的.

关键词: 中立型变延迟积分微分方程非线性稳定性线性θ-方法

DOI：

分类号:

基金项目:国家自然科学基金(10971140)

Stability analysis of a class of nonlinear neutral delay-integro-differential equations

CONG Yuhao¹, LU Cuicui¹, JIANG Chengxiang²

1.College of Mathematics and Sciences,Shanghai Normal University;2.Tianhua College,Shanghai Normal University

Abstract:

We deal with the stability of a class of nonlinear neutral variable delay-integro-differential equations.Firstly,we study the stability analysis of the theoretical solutions.Secondly.We discuss the numerical stability analysis of linearθ- methods for nonlinear neutral variable delay-integro-differential equations.

Key words: nonlinear neutral variable delay-integro-differential equations numerical stability linear θ- method