Stability theorems of perturbed linear ordinary differential equations
The paper refers to the stability of \(dx/dt=A(t)x+f(t,x)\) with a ``large'' perturbation basically satisfying \(\| f(t,x)\| \leq F(t,\| x\|)\) with F monotone increasing in the second variable. The theorems significantly extend many classical results. The proofs essentially use integral inequalities.
scientific article; zbMATH DE number 4169135
scientific article