Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System

Yue-WenCheng; Hui-ShengDing

首页> 外文期刊>Abstract and applied analysis >Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System

【24h】

Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System

机译：线性Volterra积分微分系统解的渐近性质。

获取原文

获取外文期刊封面封底 >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We investigate the asymptotic behavior of solutions to a linear Volterra integrodifferential systemxi′(t)=ai(t)+bi(t)xi(t)+∑j=1n‍∫0t‍Kij(t,s)xj(s)ds,t∈ℝ+,i=1,2,…,n.We show that under some suitable conditions, there exists a solution for the above integrodifferential system, which is asymptotically equivalent to some given functions. Two examples are given to illustrate our theorem.

机译：我们研究线性Volterra积分微分系统xi'（t）= ai（t）+ bi（t）xi（t）+ ∑j =1n∫0tKij（t，s）xj（s）ds，t的解的渐近行为∈ℝ+，i = 1,2，…，n。我们证明在某些合适的条件下，存在上述积分微分系统的解，它渐近等效于某些给定的函数。给出两个例子来说明我们的定理。

著录项

来源
《Abstract and applied analysis》 |2013年第14期|共5页
作者
Yue-WenCheng; Hui-ShengDing;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种
中图分类数学分析;
关键词

相似文献

外文文献
中文文献
专利

1. ON A METHOD OF STUDY OF SPECIFIC ASYMPTOTIC STABILITY OF SOLUTIONS TO A SIXTH-ORDER LINEAR INTEGRODIFFERENTIAL VOLTERRA EQUATION [J] . S. Iskandarov Journal of Mathematical Sciences . 2018,第5期

机译：关于六阶线性积分微分沃尔特方程的解的渐近稳定性的研究
2. Numerical solutions of optimal control for linear Volterra integrodifferential systems via hybrid functions [J] . Xing Tao Wang, Yuan Min Li Journal of the Franklin Institute . 2011,第9期

机译：线性Volterra积分微分系统最优控制的混合函数数值解。
3. PERIODIC AND ASYMPTOTICALLY PERIODIC SOLUTIONS IN COUPLED NONLINEAR SYSTEMS OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS [J] . MUHAMMAD N. ISLAM, YOUSSEF N. RAFFOUL Dynamic Systems and Applications . 2014,第2a3期

机译：Volterra积分微分方程非线性耦合系统的周期和渐近周期解。
4. EXISTENCE AND UNIFORMLY VALID ESTIMATE OF SOLUTIONS OF VOLTERRA TYPE INTEGRODIFFERENTIAL EQUATION FOR NONLINEAR BOUNDARY VALUE PROBLEMS [C] . GUOCAN WANG The Second International Conference on Information Systems Sciences（ICISS'2008）（第二届信息与系统科学国际会议）论文集 . 2009

机译：非线性边值问题的Volterra型积分微分方程解的存在性和一致有效估计。
5. Analysis and numerical solution of nonlinear Volterra partial integrodifferential equations modeling swelling porous materials. [D] . Wojciechowski, Keith J. 2011

机译：溶胀多孔材料的非线性Volterra偏积分微分方程的分析和数值解。
6. The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations [O] . Behzad Ghanbari -1

机译：求解非线性Volterra-Fredholm积分微分方程的同伦分析方法的收敛性研究
7. Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System [O] . Yue-Wen Cheng, Hui-Sheng Ding 2013

机译：线性Volterra积分型系统解决方案的渐近行为
8. Asymptotic Stability Properties of Linear Volterra Integrodifferential Equations [R] . Miller, R. K. 1970

机译：线性Volterra积分微分方程的渐近稳定性

Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System

摘要

著录项

相似文献

相关主题

期刊订阅