An initial value problem x'=f(t,x,x'), x(0)=0: solvability, number of solutions, asymptotics

Анотація

We find a nonempty set of continuously differentiable solutions $x:(0,\rho ]\to \mathrm{ℝ}$ each of which possesses required asymptotical
properties when $t\to +0$. Also we establish uniqueness conditions.