Properties A and B of nth Order Linear Differential Equations with Deviating Argument

Author： Koplatadze R.   Kvinikadze G.   Stavroulakis I.P.  

Publisher： Springer Publishing Company

ISSN： 1072-947X

Source： Georgian Mathematical Journal, Vol.6, Iss.6, 1999-11, pp. : 553-566

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Abstract

Sufficient conditions for the nth order linear differential equation u^{(n)}(t)+p(t)u(tau (t))=0, quad n geq 2, to have Property A or Property B are established in both the delayed and the advanced cases. These conditions essentially improve many known results not only for differential equations with deviating arguments but for ordinary differential equations as well.

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