$. Integrating with respect to $t \in [0, t ^{ \varepsilon}_0]$ yields $$t ^{ \varepsilon}_0 (x,v) \leq { \varepsilon}\int _{|v|} ^{{ \rho ^\varepsilon _0}(A) + { \varepsilon}} \frac{{ \mathrm{d}}u }{ { \varepsilon}A + (\alpha - \beta u ^0 ) u } \leq { \varepsilon}\int _{