Limiting equations and stability of non-stationary motions (Q1106382)

``The purpose of the present paper is to review results obtained on the basis of limiting equations in the process of investigating systms with and without small parameters but with a non-asymptotically stable zero solution of a shortened system''. This is a quotation from the Introduction. Two theorems, one on Hadamard stability and one on asymptotic stability, based on an asymptotic form (as \(t\to \infty)\) of the nonautonomous system are given. No proofs are given and no reference to the source of the reported results is included. Not all works references in the paper are listed in the references.