抽象空间微分方程初值问题解的性质

Properties of Solutions for Initial Value Problem for Differential Equations in Abstract Spaces

讨论了抽象空间微分方程x′(t)=Ax(t)初值问题在常点附近解的性质,得到了常点附近所有解曲线同胚于抽象空间中的一族平行线段的结论。

The properties of solutions for initial value problem for ordinary differential equations in abstract spaces were discussed and some results were obtained.