摘要
研究了具有时滞的非线性积分方程振动性问题, 给出了方程 x (t)+∫t0k(t- s) G(s,x(s),x (s- τ(s)))ds= f (t)在非线性项 G(t,u,v)关于 u,v 为增函数时,其解振动的充分条件及当强迫项 f(t)为振动函数时。
The sufficient conditions of oscillatory solution are given for integral equation x(t)+∫ t 0k(t-s)G(s,x(s),x(s-τ(s))) d s=f(t), with nonlinear term G(t,u,v) being increment function about u,v . And the sufficient conditions of unbounded solution are given with forced term f(t) being oscillatory function.
出处
《陕西师大学报(自然科学版)》
CSCD
北大核心
1999年第3期9-11,共3页
Journal of Shaanxi Normal University(Natural Science Edition)