Conditions for the absence of positive solutions of a first order differential inequality with a single delay

Erwin Kozakiewicz

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Displaying similar documents to “Conditions for the absence of positive solutions of a first order differential inequality with a single delay”

Applications of Characteristic Equation of Linear Delay Difference Equations

Hajnalka Péics (1998)

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Oscillation of a second order delay differential equations

Jozef Džurina (1997)

Archivum Mathematicum

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In this paper, we study the oscillatory behavior of the solutions of the delay differential equation of the form ${(\frac{1}{r (t)} y^{'} (t))}^{'} + p (t) y (τ (t)) = 0 .$ The obtained results are applied to n-th order delay differential equation with quasi-derivatives of the form $L_{n} u (t) + p (t) u (τ (t)) = 0 .$

A comparison theorem for linear delay differential equations

Jozef Džurina (1995)

Archivum Mathematicum

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In this paper property (A) of the linear delay differential equation $L_{n} u (t) + p (t) u (τ (t)) = 0,$ is to deduce from the oscillation of a set of the first order delay differential equations.

Property (B) of differential equations with deviating argument

Jozef Džurina (1994)

Archivum Mathematicum

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The aim of this paper is to deduce oscillatory and asymptotic behavior of delay differential equation $L_{n} u (t) - p (t) u (τ (t)) = 0,$ from the oscillation of a set of the first order delay equations.