Assume that the following inequation exist. How can I get the condition of parameters?
$$(b_1-\frac{1}{2}u_1)u_1\geq (u_1+u_2)(t-t_0)+x_0$$
$$u_1\in[0,b_1]$$ $$u_2\in [0,b_2]$$ $$x_0\geq0$$ and $b_1,b_2$ is a constant
Numerical solution, $$b_1=400, b_2=500, t_0=0, x_0=0$$, I still didn't find the solution? The left side is a number, the right side is a function of t, so there don't have a solution?
$$(400-u_1)u_1\geq (u_1+u_2)*t,u_1\in [0,400], u_2\in [0,400]$$.
Any suggestions?