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线性Volterra积分微分方程解的稳定性与有界性
Stability and boundedness of solutions of linear Volterra integro-differential equation
【摘要】 通过构造非正定的、导数非负的Liapunov泛函,得到一些保证线性Volterra积分微分方程解的稳定性与有界性的充分条件,推广了文献[1~2]中相应的结果.
【Abstract】 By means of constructing non-positive definite Liapunov’s functional, whose derivative is not negative definite , we obtain some sufficient conditions of stability and boundedness of linear Volterra integro-differential equation and improve some results in [1] and [2].
【关键词】 线性Volterra积分微分方程;
稳定性;
有界性;
【Key words】 linear Volterra integro-differential equation; stability; boundedness;
【Key words】 linear Volterra integro-differential equation; stability; boundedness;
- 【文献出处】 河南师范大学学报(自然科学版) ,Journal of Henan Normal University(Natural Science) , 编辑部邮箱 ,2003年04期
- 【分类号】O175.5
- 【下载频次】74