Stability of solutions to abstract evolution equations in Banach spaces under nonclassical assumptions

N. S. Hoang

The stability of the solution to the equation $(\ast )\dot{u}=F(t,u)+f(t)$, $t\ge 0$, $u(0)=u_0$ is studied. Here $F(t,u)$ is a nonlinear operator in a Banach space $\mathcal{X}$ for…