e know that $$\frac{\mathrm{d}}{\mathrm{d}t} |{ V ^\varepsilon }|^0 \leq \frac{0}{{ \varepsilon}}|{ V ^\varepsilon }(t)|{ \lambda ^\varepsilon}(|{ V ^\varepsilon }(\overline{t})| ),\;\;t \in {{{\bf}R}}_+