Stability theorems of perturbed linear ordinary differential equations (Q923191)
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scientific article; zbMATH DE number 4169135
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability theorems of perturbed linear ordinary differential equations |
scientific article; zbMATH DE number 4169135 |
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Stability theorems of perturbed linear ordinary differential equations (English)
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1990
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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.
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integral inequalities
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