On asymptotic behaviour of certain integro-differential equations

Yang, En Hao

doi:10.1090/S0002-9939-1984-0727248-1

On asymptotic behaviour of certain integro-differential equations
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Proc. Amer. Math. Soc. 90 (1984), 271-276 Request permission

Abstract:

This paper deals with the asymptotic behaviour of some integro-differential equations which can be seen as perturbations of some nonlinear systems of ordinary differential equations. The main tools used here are two generalizations of the Pachpatte’s integral inequality and an Alekseev type nonlinear variation of constants formula.

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