Hi everyone,
I have an inhomogeneous Bernoulli type ODE given by
u'(t) = \kappa u(t) + \ell(t) u^{\gamma}(t) + v(t),\ \ \ u(T)=b>0,...(1)
where t\in[0,T],\ \ \gamma\in (0,1) .
My concern is that how to prove the existence and uniqueness of the solution u(t) for all t\in [0,T]...