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- W2090844246 abstract "In this paper the asymptotic properties of solutions of systems of ordinary differential equations with strong nonlinearity are discussed. The main tools used here are Alekseev's nonlinear variation of constants formula and two nonlinear integral inequalities of the Bellman type established by the present author. Theorems 1 and 2 proved here generalize the main results obtained by I.M. Vlasov (Izv. Vysš. Učebn. Zaved.) Matematika 69 (2) (1968), 27–34). As applications of the results a series of corollaries for perturbed linear differential systems are also stated which are extensions of some known theorems. Although there are many other articles concerned with the same problem as that in the present paper (for example, see [9–16]), the results obtained here seem to be new." @default.
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- W2090844246 date "1984-10-01" @default.
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- W2090844246 title "Perturbations of nonlinear systems of ordinary differential equations" @default.
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- W2090844246 doi "https://doi.org/10.1016/0022-247x(84)90151-3" @default.
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