Author： Carvalho L.A.V. Cooke K.L.
Publisher： Academic Press
ISSN： 0022-0396
Source： Journal of Differential Equations, Vol.143, Iss.1, 1998-02, pp. : 96-109
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Abstract
The phenomenon of a wild kind of oscillatory behavior found in solutions of the scalar differential equation with scaling on time,.x(t)=-ax(t)+ax(pt), is investigated in this paper. It is shown that this phenomenon does not, in general, reflect a similar behavior in this equation's numerical solutions. The results obtained here may be extended, under appropriate assumptions, to other types of nonlinear multidimensional retarded functional differential equations with vanishing delays.Copyright 1998 Academic Press.
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