摘要
通过构造Liapunov泛函V(t,x(.)),减弱对V(t,x(.))和D+V(t,x(.))的要求,得到一些保证非线性Volterra积分微分方程解稳定的充分条件,改进Burton T A(1983)中的相应结果.
By constructing suitable Liapunov functionals V(t,x(·)) and weaking the conditions on V(t,x(·)) and D+V(t,x(·)), some sufficient conditions of stability for nonlinear Volterra integro-differential equation are obtained, which improve the results in Burton T A(1983).
出处
《曲阜师范大学学报(自然科学版)》
CAS
2006年第4期57-60,共4页
Journal of Qufu Normal University(Natural Science)