2015•Carpathian Journal of MathematicsOpen access

Oscillation of the even - order delay linear differential equation

Jozef Džurina, Blanka Baculíková

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Abstract

In the paper we offer criteria for oscillation of the even order delay differential equation y(n)(t) + p(t)y(ct) = 0 We provide detail analysis of the properties of this equation, we offer necessary and sufficient conditions for oscillation of studied equation and we fulfill the gap in the oscillation theory.

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In the paper we offer criteria for oscillation of the even order delay differential equation y(n)(t) + p(t)y(ct) = 0 We provide detail analysis of the properties of this equation, we offer necessary and sufficient conditions for oscillation of studied equation and we fulfill the gap in the oscillation theory.

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Available abstract

In the paper we offer criteria for oscillation of the even order delay differential equation y(n)(t) + p(t)y(ct) = 0 We provide detail analysis of the properties of this equation, we offer necessary and sufficient conditions for oscillation of studied equation and we fulfill the gap in the oscillation theory.

Key concepts: Oscillation (cell signaling), Differential equation, Order (exchange), Delay differential equation, Mathematics, Mathematical analysis, Characteristic equation, Functional differential equation

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