Stability theorems of perturbed linear ordinary differential equations
type: Item
instance of: scholarly article
title: Stability theorems of perturbed linear ordinary differential equations
zbMATH Open document ID: 0711.34066
DOI: 10.1016/0022-247X(90)90064-M
author: Takeshi Taniguchi
published in: Journal of Mathematical Analysis and Applications
publication date: 1990-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34D10
zbMATH DE Number: 4169135
zbMATH Keywords: integral inequalities
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4169135