Stability of the integral manifold of an oscillation system with slowly varying frequencies and pulse action

Using uniform estimates for oscillation integrals and sums, we prove theorems on asymptotic and conditional asymptotic stability of the integral manifold of a multifrequency system of ordinary differential equations with pulse action at fixed times.Translated from Neliniini Kolyvannya, Vol. 7, No. 3, pp. 365–394, July–September, 2004.