摘要
这里A为n×n常数矩阵,C(t,s)为n×n函数矩阵,对0≤s≤t<∞连续,f:(-∞,∞)→R^n连续。 我们规定‖·‖表示向量x=(x_1,x_2,…,x_s)~T或矩阵A=(aij)_(s×s)的模,T表示转置。
In this paper, by means of constructing a kind of Lyapunov functional which is different from the one in [1], we not only obtain results of stability of the zero solution to convolution and nonconvolution type equations, but also obtain the uniform boundedness of solutions to nonhomogeneous equations.At the same time,we also weaken and delete some reasonless conditions of the related theorem in[1].
出处
《应用数学学报》
CSCD
北大核心
1992年第2期260-268,共9页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金
