OSCILLATIONS OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS——GENERAL LINEARIZED OSCILLA TIONS RESULTS
Citation:
ISTVAN GYORI.OSCILLATIONS OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS——GENERAL LINEARIZED OSCILLA TIONS RESULTS[J].Chinese Annals of Mathematics B,1992,13(4):485~506
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Authors:
ISTVAN GYORI;
Abstract:
It is shown that for a wide class of the scalar and vector functional equations of the delay and the neutral type a positive solution exists if and only if the linearized approximation equations are non-oscillatory or,equivalently,the characteristic equations of these linear equations have a real root.