An Extension of the Characterization of Oscillations to Arbitrary Functional Differential Equations Via the Laplace Transform

Author： Grammatikopoulos M.K. Lakshmikantham D.V.P.

Publisher： Academic Press

ISSN： 0022-247X

Source： Journal of Mathematical Analysis and Applications, Vol.223, Iss.2, 1998-07, pp. : 418-428

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Abstract

In this paper we consider a functional differential equation of general form. Using the Laplace transform, we prove that such an equation has a nonoscillatory solution if and only if the characteristic equation has a real zero. Copyright 1998 Academic Press.

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