2002•Demonstratio MathematicaOpen access

NEW OSCILLATION CIRITERIA OF FIRST ORDER DELAY DIFFERENTIAL EQUATIONS

I. Kubiaczyk, Samir H. Saker

Abstract

In this paper we shall consider the first order delay differential equations with variable coefficients.Some new sufficient conditions for oscillation of all solutions axe obtained.Our results based on the analysis of the generalized charachterestic equation.The results partially improve some previously known results in the literature.Some examples are considered to illustrate our main results.

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Key concepts: Mathematics, Oscillation (cell signaling), Delay differential equation, Order (exchange), Differential equation, Mathematical analysis, Applied mathematics, Finance